Note, while older versions of BatchPatch would report the Error 1613 mentioned in the title, newer versions are likely to report this error instead:
Windows Update: Error: 0. HRESULT: -2147024894. Could not find file...
In one case when a user experienced this error the problem ended up being that PsExec could not run successfully on a server that had Mandatory User Profiles: https://msdn.microsoft.com/en-us/library/windows/desktop/bb776895%28v=vs.85%29.aspx
When running a simple test of PsExec at the command line, the user experienced the error below. A sufficient test would be something like:
psexec \targetcomputer IPCONFIG
The expected error is something similar to:
Error deriving session key:
The profile for the user is a temporary profile.