13081023120 has 320 divisors, whose sum is σ = 45647078400. Its totient is φ = 3071416320.

The previous prime is 13081023107. The next prime is 13081023139. The reversal of 13081023120 is 2132018031.

It is a super-2 number, since 2×13081023120² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 15778866 + ... + 15779694.

It is an arithmetic number, because the mean of its divisors is an integer number (142647120).

Almost surely, 2^13081023120 is an apocalyptic number.

13081023120 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 13081023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823539200).

13081023120 is an abundant number, since it is smaller than the sum of its proper divisors (32566055280).

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

13081023120 is a wasteful number, since it uses less digits than its factorization.

13081023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 13081023120 in words is "thirteen billion, eighty-one million, twenty-three thousand, one hundred twenty".