131152122131400 has 144 divisors (see below), whose sum is σ = 440495480370660. Its totient is φ = 34970489856000.

The previous prime is 131152122131383. The next prime is 131152122131419. The reversal of 131152122131400 is 4131221251131.

131152122131400 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 2 + 1 + 221 + 31 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36417290286276 + 94734831845124 = 6034674^2 + 9733182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14945100 + ... + 22037700.

Almost surely, 2^{131152122131400} is an apocalyptic number.

131152122131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131152122131400 is an abundant number, since it is smaller than the sum of its proper divisors (309343358239260).

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

131152122131400 is a wasteful number, since it uses less digits than its factorization.

131152122131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102896 (or 7102884 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 131152122131400 its reverse (4131221251131), we get a palindrome (135283343382531).

The spelling of 131152122131400 in words is "one hundred thirty-one trillion, one hundred fifty-two billion, one hundred twenty-two million, one hundred thirty-one thousand, four hundred".