13031938920 has 1024 divisors, whose sum is σ = 56435097600. Its totient is φ = 2319482880.

The previous prime is 13031938919. The next prime is 13031938949. The reversal of 13031938920 is 2983913031.

It is a super-2 number, since 2×13031938920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 146426236 + ... + 146426324.

It is an arithmetic number, because the mean of its divisors is an integer number (55112400).

Almost surely, 2^13031938920 is an apocalyptic number.

13031938920 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 13031938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28217548800).

13031938920 is an abundant number, since it is smaller than the sum of its proper divisors (43403158680).

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

13031938920 is a wasteful number, since it uses less digits than its factorization.

13031938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 13031938920 in words is "thirteen billion, thirty-one million, nine hundred thirty-eight thousand, nine hundred twenty".