13129251120 has 240 divisors, whose sum is σ = 46504523520. Its totient is φ = 3441491712.

The previous prime is 13129251101. The next prime is 13129251127. The reversal of 13129251120 is 2115292131.

13129251120 is a `hidden beast` number, since 1 + 3 + 129 + 2 + 511 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13129251127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141237 + ... + 1152683.

It is an arithmetic number, because the mean of its divisors is an integer number (193768848).

Almost surely, 2^13129251120 is an apocalyptic number.

13129251120 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 13129251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252261760).

13129251120 is an abundant number, since it is smaller than the sum of its proper divisors (33375272400).

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

13129251120 is a wasteful number, since it uses less digits than its factorization.

13129251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 13129251120 in words is "thirteen billion, one hundred twenty-nine million, two hundred fifty-one thousand, one hundred twenty".