I am getting this error with the Nuget package for SQLite 1.0.94.1. I fiddled around with the various app.config sections, helped by similar questions about previous version
What worked for me was to follow the comment on 2015-04-29 08:33:33 in the SQLite ticket:
If you switch project target platform from 4.5.1 to 4 and reinstall nuget package you will have it all working(even if you later return it back to 4.5.1)"
Might have a similar effect on config to Mihail's answer, not sure.