131512121400 has 384 divisors, whose sum is σ = 474783897600. Its totient is φ = 29776320000.

The previous prime is 131512121371. The next prime is 131512121417. The reversal of 131512121400 is 4121215131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8896015 + ... + 8910785.

It is an arithmetic number, because the mean of its divisors is an integer number (1236416400).

Almost surely, 2^131512121400 is an apocalyptic number.

131512121400 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 131512121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237391948800).

131512121400 is an abundant number, since it is smaller than the sum of its proper divisors (343271776200).

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

131512121400 is a wasteful number, since it uses less digits than its factorization.

131512121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14891 (or 14882 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 131512121400 its reverse (4121215131), we get a palindrome (135633336531).

The spelling of 131512121400 in words is "one hundred thirty-one billion, five hundred twelve million, one hundred twenty-one thousand, four hundred".