If you install the current 2.0.x version and try to run it with the 1.3 database it will prompt you to run the command-line caUtils update-from-1-7
command. This should be able to take it from 1.3 all the way to 2.0, although it'll take a bit of time.
We've recently updated a group of systems running 1.0 (from 2010) this way without issue. Your mileage may vary though.