13157187400000 has 1008 divisors, whose sum is σ = 40935829939200. Its totient is φ = 4104806400000.

The previous prime is 13157187399991. The next prime is 13157187400003. The reversal of 13157187400000 is 478175131.

It is a super-2 number, since 2×13157187400000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13157187400003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12542599476 + ... + 12542600524.

It is an arithmetic number, because the mean of its divisors is an integer number (40610942400).

Almost surely, 2^{13157187400000} is an apocalyptic number.

13157187400000 is a gapful number since it is divisible by the number (10) 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 13157187400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467914969600).

13157187400000 is an abundant number, since it is smaller than the sum of its proper divisors (27778642539200).

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

13157187400000 is an equidigital number, since it uses as much as digits as its factorization.

13157187400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 13157187400000 in words is "thirteen trillion, one hundred fifty-seven billion, one hundred eighty-seven million, four hundred thousand".