Make a backup in 2009.

Restore it in 2013. It will ask you if you want to update the file.  Say yes.

Resolution for '2013 data issue: 'can I transfer 2009 version to 2013 data?' available: Yes.

The 2013 data issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the 2013 data issue yourself by looking for a resolution described in the article. If it is a complex 2013 data issue or you are unable to solve the issue, you may contact us by clicking here or by using other 2013 data support options.

For more information about resolving issues related to 2013 data in Quickbooks/QBO or to get support for the issue 'can I transfer 2009 version to 2013 data?', click the link below: