13157118900 has 144 divisors (see below), whose sum is σ = 43198068480. Its totient is φ = 3433881600.

The previous prime is 13157118889. The next prime is 13157118913. The reversal of 13157118900 is 981175131.

13157118900 is a `hidden beast` number, since 1 + 3 + 1 + 571 + 1 + 89 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75060 + ... + 178740.

Almost surely, 2^13157118900 is an apocalyptic number.

13157118900 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 13157118900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599034240).

13157118900 is an abundant number, since it is smaller than the sum of its proper divisors (30040949580).

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

13157118900 is a wasteful number, since it uses less digits than its factorization.

13157118900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103751 (or 103738 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 13157118900 in words is "thirteen billion, one hundred fifty-seven million, one hundred eighteen thousand, nine hundred".