13014975120 has 320 divisors, whose sum is σ = 47904552960. Its totient is φ = 2861236224.

The previous prime is 13014975119. The next prime is 13014975131. The reversal of 13014975120 is 2157941031.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4838736 + ... + 4841424.

It is an arithmetic number, because the mean of its divisors is an integer number (149701728).

Almost surely, 2^13014975120 is an apocalyptic number.

13014975120 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 13014975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23952276480).

13014975120 is an abundant number, since it is smaller than the sum of its proper divisors (34889577840).

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

13014975120 is a wasteful number, since it uses less digits than its factorization.

13014975120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 13014975120 in words is "thirteen billion, fourteen million, nine hundred seventy-five thousand, one hundred twenty".