13013214400 has 84 divisors (see below), whose sum is σ = 33904278648. Its totient is φ = 4899082240.

The previous prime is 13013214397. The next prime is 13013214419. The reversal of 13013214400 is 441231031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212014 + ... + 266413.

Almost surely, 2^13013214400 is an apocalyptic number.

13013214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013214400 is an abundant number, since it is smaller than the sum of its proper divisors (20891064248).

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

13013214400 is a wasteful number, since it uses less digits than its factorization.

13013214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478466 (or 478451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13013214400 its reverse (441231031), we get a palindrome (13454445431).

The spelling of 13013214400 in words is "thirteen billion, thirteen million, two hundred fourteen thousand, four hundred".