Cannot install Visual Studio 2013 update 5 (RTM); Tools for Apache Cordova

Can you try this -

Open RegEdit, find this key: HKCU\Software\Microsoft\VisualStudio\12.0\JavaScriptLanguageService Delete the MDD-specific value: “ReferenceGroups_MDD”.
Do not delete the “ReferenceGroups” value, or you may mess up your JSLS intelli-sense for non-MDD scenarios.

Deleting that ReferenceGroups_MDD value under the JSLS key should unblock the installation of any installers that are blocking because they (incorrectly) think that you still have the VS2013 Tools for Apache Cordova installed.

Note: If you upgrade to Update5, you will lose the ability to work with MDD projects until we release the next version of our tools that work on top of update5. We are in process of validating our next release for Update5 and will release it soon.