13137163512 has 128 divisors (see below), whose sum is σ = 36834808320. Its totient is φ = 3870720000.

The previous prime is 13137163493. The next prime is 13137163517. The reversal of 13137163512 is 21536173131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137163517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1363512 + ... + 1373112.

It is an arithmetic number, because the mean of its divisors is an integer number (287771940).

Almost surely, 2^13137163512 is an apocalyptic number.

13137163512 is a gapful number since it is divisible by the number (12) 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 13137163512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417404160).

13137163512 is an abundant number, since it is smaller than the sum of its proper divisors (23697644808).

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

13137163512 is a wasteful number, since it uses less digits than its factorization.

13137163512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9761 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The spelling of 13137163512 in words is "thirteen billion, one hundred thirty-seven million, one hundred sixty-three thousand, five hundred twelve".