Answer:
13×8×(5+1)=624
Explanation:
the fastest growth by far using the provided operations comes from multiplication. The only exception here is for 11, the multiplicative identity. To make use of it, then, we can add it to another number prior to multiplying. This gives three possibilities:
(13+1)×8×5=560
13×(8+1)×5=585
13×8×(5+1)=624
Assuming we have no access to any operators or functions but the ones listed, and do not use any silly tricks like appending numbers or writing things in such a manner as to use numbers or operations that were not explicitly allowed, I do not see any way to get a greater number than this.