131010230400 has 192 divisors, whose sum is σ = 493160191680. Its totient is φ = 29945180160.

The previous prime is 131010230389. The next prime is 131010230419. The reversal of 131010230400 is 4032010131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×131010230400² (a number of 23 digits) contains 22 as substring.

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 131010230400.

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, 907579 + ... + 1041978.

It is an arithmetic number, because the mean of its divisors is an integer number (2568542665).

Almost surely, 2^131010230400 is an apocalyptic number.

131010230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010230400 is an abundant number, since it is smaller than the sum of its proper divisors (362149961280).

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

131010230400 is a wasteful number, since it uses less digits than its factorization.

131010230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949591 (or 1949574 counting only the distinct ones).

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

Adding to 131010230400 its reverse (4032010131), we get a palindrome (135042240531).

The spelling of 131010230400 in words is "one hundred thirty-one billion, ten million, two hundred thirty thousand, four hundred".