I have a DTSX file in a project I\'m taking over. I have Visual Studio 2005 Pro, but it just opens it as an XML file. SQL Server Management Studio 2005 does the same.
Adding to what b_levitt said, you can get the SSDT-BI plugin for Visual Studio 2013 here: http://www.microsoft.com/en-us/download/details.aspx?id=42313