131312400 has 120 divisors (see below), whose sum is σ = 426684000. Its totient is φ = 34513920.

The previous prime is 131312399. The next prime is 131312413. The reversal of 131312400 is 4213131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131312400.

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, 86851 + ... + 88349.

It is an arithmetic number, because the mean of its divisors is an integer number (3555700).

Almost surely, 2^131312400 is an apocalyptic number.

131312400 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 131312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213342000).

131312400 is an abundant number, since it is smaller than the sum of its proper divisors (295371600).

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

131312400 is a wasteful number, since it uses less digits than its factorization.

131312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131312400 is about 11459.1622730460. The cubic root of 131312400 is about 508.2787029589.

Adding to 131312400 its reverse (4213131), we get a palindrome (135525531).

The spelling of 131312400 in words is "one hundred thirty-one million, three hundred twelve thousand, four hundred".