13037132956416 has 288 divisors, whose sum is σ = 35953988517888. Its totient is φ = 4190549852160.

The previous prime is 13037132956333. The next prime is 13037132956423. The reversal of 13037132956416 is 61465923173031.

13037132956416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6607770406 + ... + 6607772378.

Almost surely, 2^{13037132956416} is an apocalyptic number.

13037132956416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13037132956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17976994258944).

13037132956416 is an abundant number, since it is smaller than the sum of its proper divisors (22916855561472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13037132956416 is a wasteful number, since it uses less digits than its factorization.

13037132956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 13037132956416 in words is "thirteen trillion, thirty-seven billion, one hundred thirty-two million, nine hundred fifty-six thousand, four hundred sixteen".