13131012400 has 120 divisors (see below), whose sum is σ = 34647894000. Its totient is φ = 4742630400.

The previous prime is 13131012361. The next prime is 13131012437. The reversal of 13131012400 is 421013131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645586 + ... + 665614.

It is an arithmetic number, because the mean of its divisors is an integer number (288732450).

Almost surely, 2^13131012400 is an apocalyptic number.

13131012400 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 13131012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323947000).

13131012400 is an abundant number, since it is smaller than the sum of its proper divisors (21516881600).

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

13131012400 is a wasteful number, since it uses less digits than its factorization.

13131012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20207 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13131012400 its reverse (421013131), we get a palindrome (13552025531).

The spelling of 13131012400 in words is "thirteen billion, one hundred thirty-one million, twelve thousand, four hundred".