13157333120 has 64 divisors (see below), whose sum is σ = 31885242840. Its totient is φ = 5190819840.

The previous prime is 13157333071. The next prime is 13157333179. The reversal of 13157333120 is 2133375131.

It can be written as a sum of positive squares in 4 ways, for example, as 8170713664 + 4986619456 = 90392^2 + 70616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94091 + ... + 187530.

Almost surely, 2^13157333120 is an apocalyptic number.

13157333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13157333120 is an abundant number, since it is smaller than the sum of its proper divisors (18727909720).

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

13157333120 is an equidigital number, since it uses as much as digits as its factorization.

13157333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281713 (or 281701 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The spelling of 13157333120 in words is "thirteen billion, one hundred fifty-seven million, three hundred thirty-three thousand, one hundred twenty".