I tried deploying the 10.1.3 in the way I successfully deployed 1.1 and 1.2, but kept getting errors about a transform on install. I tried installing the patched MSI without any transforms, but still got the error. Then I tried running the download straight from the enterprise distribution link, but that didn't work either, even on a computer without Adobe Reader installed.
I think there might be something wrong with the enterprise distribution.