13129012152 has 96 divisors (see below), whose sum is σ = 36485420400. Its totient is φ = 4262727168.

The previous prime is 13129012139. The next prime is 13129012207. The reversal of 13129012152 is 25121092131.

13129012152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13129012152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149124 + ... + 1160492.

Almost surely, 2^13129012152 is an apocalyptic number.

13129012152 is a gapful number since it is divisible by the number (12) 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 13129012152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242710200).

13129012152 is an abundant number, since it is smaller than the sum of its proper divisors (23356408248).

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

13129012152 is a wasteful number, since it uses less digits than its factorization.

13129012152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11790 counting only the distinct ones).

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

The spelling of 13129012152 in words is "thirteen billion, one hundred twenty-nine million, twelve thousand, one hundred fifty-two".