This blog is specifically for Windows 7 32 bit and Office 2013 32 bit.
I have this problem when my Windows 7 32 bit, cannot do Windows Update. That also means MS Office 2013 will not be updated.
You need to make your Windows 7 can run the live update. I use the link below and it works.
My Office 2013 application is able to run the app from Office App Store after Windows Update.