If you install Office 2013 on a machine that has, or plans to have SharePoint 2010 installed, SharePoint will not work. Before you tear your SharePoint installation apart, try removing InfoPath 2013 from your machine.

I found this post a bit too late:

http://www.rightpoint.com/community/blogs/viewpoint/archive/2012/11/29/issue-with-office-2013-and-sharepoint-2010-on-same-machine.aspx