13031106400 has 72 divisors (see below), whose sum is σ = 34259307264. Its totient is φ = 4811481600.

The previous prime is 13031106371. The next prime is 13031106409. The reversal of 13031106400 is 460113031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031106409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616096 + ... + 636895.

It is an arithmetic number, because the mean of its divisors is an integer number (475823712).

Almost surely, 2^13031106400 is an apocalyptic number.

13031106400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031106400 is an abundant number, since it is smaller than the sum of its proper divisors (21228200864).

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

13031106400 is a wasteful number, since it uses less digits than its factorization.

13031106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253024 (or 1253011 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13031106400 its reverse (460113031), we get a palindrome (13491219431).

The spelling of 13031106400 in words is "thirteen billion, thirty-one million, one hundred six thousand, four hundred".