Many accounting and tax preparation software support the TXF Tax Exchange format and thus can exported their own tax files, so it should be quite possible to convert TAX2013 to TXF with TurboTax.
Convert TurboTax tax return file to Tax Exchange Format file.
We found 2 software records in the database related to .tax2013 to .txf file format conversion.
Microsoft Windows software - convert tax2013 to txf on Windows
A tax preparation software developed by Intuit
Convert from tax2013 file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned tax2013 to txf. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
Apple macOS / Mac OS X software - convert tax2013 to txf on OS X
Popular tax preparation software