In my case, there are two projects: the former is for developing telerik reports, and the latter is a web application which views the reports from the former project. By the way, i am using Visual Studio 2010.
1) install Telerik 2013 in your development machine.
2) in both projects, renew the references and make CopyLocal property true for each one of them.
3) in web.xml of the web application, replace all Version statements. In my case, i replaced
4) and deploy the project to production as always. Remember to renew all Telerik dlls..