You have to remove all the beta versions of Office 2013. After this I could install Office 2013 and Visio 2013 without any problems and the cause is probably the Prooffing Tools. I had the same issue. Here is small guide to remove Prooffing tools (That are not appearing to appwiz.cpl = system application).
- Go to %windir%\installer
- Right click titlebar and select subject
- Go each msi through (Subject value) and you'll find some prooffing tools preview installed. (or something else from preview)
- Right click it and choose "Uninstall"
- After that you should be able to install Office 2013 RTM
You can also see if this can help you.