diff --git a/.nvmrc b/.nvmrc
index 4e31022509a8..3fae44200aee 100644
--- a/.nvmrc
+++ b/.nvmrc
@@ -1 +1 @@
-10.13
+12.14
diff --git a/package.json b/package.json
index d4324c126ab3..3323ec4edb15 100644
--- a/package.json
+++ b/package.json
@@ -108,7 +108,7 @@
     "@types/loader-utils": "^1.1.3",
     "@types/minimatch": "3.0.3",
     "@types/minimist": "^1.2.0",
-    "@types/node": "10.12.30",
+    "@types/node": "13.13.5",
     "@types/node-fetch": "^2.1.6",
     "@types/npm-package-arg": "^6.1.0",
     "@types/progress": "^2.0.3",
diff --git a/packages/angular/cli/lib/init.ts b/packages/angular/cli/lib/init.ts
index 817b3386a7c6..b7fcc608e734 100644
--- a/packages/angular/cli/lib/init.ts
+++ b/packages/angular/cli/lib/init.ts
@@ -156,7 +156,7 @@ if (process.env['NG_CLI_PROFILING']) {
     standardInput = process.stdin;
   } catch (e) {
     delete process.stdin;
-    process.stdin = new Duplex();
+    process.stdin = new Duplex() as NodeJS.ReadStream;
     standardInput = process.stdin;
   }
 
diff --git a/packages/angular_devkit/benchmark/src/monitored-process.ts b/packages/angular_devkit/benchmark/src/monitored-process.ts
index fecd311c8103..c399daeaa1ae 100644
--- a/packages/angular_devkit/benchmark/src/monitored-process.ts
+++ b/packages/angular_devkit/benchmark/src/monitored-process.ts
@@ -50,8 +50,8 @@ export class LocalMonitoredProcess implements MonitoredProcess {
       const childProcess = spawn(cmd, args, spawnOptions);
 
       // Emit output and stats.
-      childProcess.stdout.on('data', (data: Buffer) => this.stdout.next(data));
-      childProcess.stderr.on('data', (data: Buffer) => this.stderr.next(data));
+      childProcess.stdout?.on('data', (data: Buffer) => this.stdout.next(data));
+      childProcess.stderr?.on('data', (data: Buffer) => this.stderr.next(data));
       const statsSubs = timer(0, this.pollingRate).pipe(
         concatMap(() => from(pidtree(childProcess.pid, { root: true }))),
         concatMap((pids: number[]) => from(pidusage(pids, { maxage: 5 * this.pollingRate }))),
diff --git a/packages/angular_devkit/build_angular/src/dev-server/index.ts b/packages/angular_devkit/build_angular/src/dev-server/index.ts
index 3a69be9611da..74ed82e8038b 100644
--- a/packages/angular_devkit/build_angular/src/dev-server/index.ts
+++ b/packages/angular_devkit/build_angular/src/dev-server/index.ts
@@ -169,7 +169,7 @@ export function serveWebpackBrowser(
           publicHost = `${options.ssl ? 'https' : 'http'}://${publicHost}`;
         }
         clientAddress = url.parse(publicHost);
-        options.publicHost = clientAddress.host;
+        options.publicHost = clientAddress.host ?? undefined;
       }
 
       // Add live reload config.
diff --git a/packages/angular_devkit/build_webpack/src/webpack-dev-server/index.ts b/packages/angular_devkit/build_webpack/src/webpack-dev-server/index.ts
index d574c24f0d83..c9edfc7322d7 100644
--- a/packages/angular_devkit/build_webpack/src/webpack-dev-server/index.ts
+++ b/packages/angular_devkit/build_webpack/src/webpack-dev-server/index.ts
@@ -92,6 +92,9 @@ export function runWebpackDevServer(
             obs.error(err);
           } else {
             const address = this.address();
+            if (address === null) {
+              throw new Error('Server is not listening');
+            }
             result = {
               success: true,
               port: typeof address === 'string' ? 0 : address.port,
diff --git a/packages/angular_devkit/core/node/host.ts b/packages/angular_devkit/core/node/host.ts
index 5db3fb399bcd..f0eab55ce501 100644
--- a/packages/angular_devkit/core/node/host.ts
+++ b/packages/angular_devkit/core/node/host.ts
@@ -58,10 +58,10 @@ function loadFSWatcher() {
   }
 }
 
-type FsFunction0<R> = (cb: (err?: Error, result?: R) => void) => void;
-type FsFunction1<R, T1> = (p1: T1, cb: (err?: Error, result?: R) => void) => void;
+type FsFunction0<R> = (cb: (err?: Error|null, result?: R) => void) => void;
+type FsFunction1<R, T1> = (p1: T1, cb: (err?: Error|null, result?: R) => void) => void;
 type FsFunction2<R, T1, T2>
-  = (p1: T1, p2: T2, cb: (err?: Error, result?: R) => void) => void;
+  = (p1: T1, p2: T2, cb: (err?: Error|null, result?: R) => void) => void;
 
 
 function _callFs<R>(fn: FsFunction0<R>): Observable<R>;
@@ -70,7 +70,7 @@ function _callFs<R, T1, T2>(fn: FsFunction2<R, T1, T2>, p1: T1, p2: T2): Observa
 
 function _callFs<ResultT>(fn: Function, ...args: {}[]): Observable<ResultT> {
   return new Observable(obs => {
-    fn(...args, (err?: Error, result?: ResultT) => {
+    fn(...args, (err?: Error|null, result?: ResultT) => {
       if (err) {
         obs.error(err);
       } else {
@@ -176,12 +176,12 @@ export class NodeJsAsyncHost implements virtualFs.Host<fs.Stats> {
   }
 
   isDirectory(path: Path): Observable<boolean> {
-    return _callFs(fs.stat, getSystemPath(path)).pipe(
+    return _callFs<fs.Stats, string>(fs.stat, getSystemPath(path)).pipe(
       map(stat => stat.isDirectory()),
     );
   }
   isFile(path: Path): Observable<boolean> {
-    return _callFs(fs.stat, getSystemPath(path)).pipe(
+    return _callFs<fs.Stats, string>(fs.stat, getSystemPath(path)).pipe(
       map(stat => stat.isFile()),
     );
   }
diff --git a/packages/angular_devkit/core/src/terminal/caps.ts b/packages/angular_devkit/core/src/terminal/caps.ts
index 2dc11534a0f0..c6edc53b6921 100644
--- a/packages/angular_devkit/core/src/terminal/caps.ts
+++ b/packages/angular_devkit/core/src/terminal/caps.ts
@@ -7,7 +7,6 @@
  */
 import ReadableStream = NodeJS.ReadableStream;
 import WriteStream = NodeJS.WriteStream;
-import Socket = NodeJS.Socket;
 const supportsColor = require('../../third_party/github.com/chalk/supports-color');
 
 /**
@@ -76,7 +75,7 @@ function _getColumns() {
 
 
 function _createCapabilities(
-  stream: Socket,
+  stream: WriteStream,
   isTerminalStream: boolean,
   level: 0|1|2|3 = supportsColor.stdout.level,
 ): StreamCapabilities {
@@ -96,7 +95,7 @@ function _createCapabilities(
 
 
 export function getCapabilities(
-  stream: Socket,
+  stream: WriteStream,
   isTerminalStream = !!stream.isTTY,
 ): StreamCapabilities {
   let maybeCaps = streamMap.get(stream);
diff --git a/packages/angular_devkit/schematics/tasks/package-manager/executor.ts b/packages/angular_devkit/schematics/tasks/package-manager/executor.ts
index 0c74c7335900..6a97e832c6d5 100644
--- a/packages/angular_devkit/schematics/tasks/package-manager/executor.ts
+++ b/packages/angular_devkit/schematics/tasks/package-manager/executor.ts
@@ -125,9 +125,9 @@ export default function(
           }
       });
       if (options.hideOutput) {
-        childProcess.stdout.on('data', (data: Buffer) =>
+        childProcess.stdout?.on('data', (data: Buffer) =>
           bufferedOutput.push({ stream: process.stdout, data: data }));
-        childProcess.stderr.on('data', (data: Buffer) =>
+        childProcess.stderr?.on('data', (data: Buffer) =>
           bufferedOutput.push({ stream: process.stderr, data: data }));
       }
     });
diff --git a/packages/ngtools/webpack/src/angular_compiler_plugin.ts b/packages/ngtools/webpack/src/angular_compiler_plugin.ts
index c2ed7981f93c..ed78a6dfdb73 100644
--- a/packages/ngtools/webpack/src/angular_compiler_plugin.ts
+++ b/packages/ngtools/webpack/src/angular_compiler_plugin.ts
@@ -565,7 +565,7 @@ export class AngularCompilerPlugin {
 
     // Handle child messages.
     this._typeCheckerProcess.on('message', message => {
-      switch (message.kind) {
+      switch ((message as {kind: MESSAGE_KIND}).kind) {
         case MESSAGE_KIND.Log:
           const logMessage = message as LogMessage;
           this._logger.log(logMessage.level, `\n${logMessage.message}`);
diff --git a/tsconfig.json b/tsconfig.json
index dc59414d663f..83c7fd917578 100644
--- a/tsconfig.json
+++ b/tsconfig.json
@@ -27,7 +27,7 @@
       "./node_modules/@types"
     ],
     "types": [
-      "node"
+      "node/v12"
     ],
     "paths": {
       "@_/benchmark": [ "./packages/_/benchmark/src/index" ],
diff --git a/yarn.lock b/yarn.lock
index 956a887cb426..05ff8deff0cd 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -1453,10 +1453,10 @@
   resolved "https://registry.yarnpkg.com/@types/node/-/node-13.13.4.tgz#1581d6c16e3d4803eb079c87d4ac893ee7501c2c"
   integrity sha512-x26ur3dSXgv5AwKS0lNfbjpCakGIduWU1DU91Zz58ONRWrIKGunmZBNv4P7N+e27sJkiGDsw/3fT4AtsqQBrBA==
 
-"@types/node@10.12.30":
-  version "10.12.30"
-  resolved "https://registry.yarnpkg.com/@types/node/-/node-10.12.30.tgz#4c2b4f0015f214f8158a347350481322b3b29b2f"
-  integrity sha512-nsqTN6zUcm9xtdJiM9OvOJ5EF0kOI8f1Zuug27O/rgtxCRJHGqncSWfCMZUP852dCKPsDsYXGvBhxfRjDBkF5Q==
+"@types/node@13.13.5":
+  version "13.13.5"
+  resolved "https://registry.yarnpkg.com/@types/node/-/node-13.13.5.tgz#96ec3b0afafd64a4ccea9107b75bf8489f0e5765"
+  integrity sha512-3ySmiBYJPqgjiHA7oEaIo2Rzz0HrOZ7yrNO5HWyaE5q0lQ3BppDZ3N53Miz8bw2I7gh1/zir2MGVZBvpb1zq9g==
 
 "@types/node@^10.1.0":
   version "10.17.21"