The 13th Chord adds another tone to the 11th chord and, hence the name, the tone is 13 steps from the root. If you are playing the piano you could play this chord with seven tones while the guitar is limited to six tones. Therefore some tone will always be excluded which can vary depending on the chord shape.
None for the moment in this category
Alternative chord shapes
Besides the chord pictures above there are different ways to play the 13th chord. On the picture below you can see an alternative and which, like the already given example, also is moveable.
In this chord shape you should mute the second string with an adjacent finger.