Problems with SQLite and VS2013

I've got a (hopefully) simple question. We're using Visual Studio 2013 and have a .Net 4.0 project. We would like to use a SQLite Database in this project. But all we can find are installations for VS2010 + .Net 4.0. If i Install this Version I cannot add a SQLite Connection in the Server Explorer view.

Is this in generall not possible or is there a way to add a SQLite Connection using VS2013 and .Net 4.0?

Thanks in advance