O.k., the note names are incorrect, as already spotted. However, 13th chords are rarely played using 1,3,5,7,9,11,and 13. Think about it - that's all the notes from a scale. The 1,3,5 and m7 must be there, for reasons stated in many answers already, but often in this 13th case, 9 and 11 are missed out, but obviously the 13 itself is played. So, 1,3,5,m7,13 does the job, and in fact, if there's a root (1) played on bass or piano, the chord can leave that out, and 5 is often left out for other reasons. At that point, there's room for the 9 and/or 11, with consideration to how all the notes are voiced.