131125441224015 has 192 divisors, whose sum is σ = 274482608774400. Its totient is φ = 57847903626240.

The previous prime is 131125441223989. The next prime is 131125441224017. The reversal of 131125441224015 is 510422144521131.

131125441224015 is a `hidden beast` number, since 1 + 3 + 1 + 125 + 4 + 4 + 122 + 401 + 5 = 666.

It is not a de Polignac number, because 131125441224015 - 2⁶ = 131125441223951 is a prime.

It is a super-2 number, since 2×131125441224015² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131125441224017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48587509 + ... + 51215201.

It is an arithmetic number, because the mean of its divisors is an integer number (1429596920700).

Almost surely, 2^{131125441224015} is an apocalyptic number.

131125441224015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131125441224015 is an abundant number, since it is smaller than the sum of its proper divisors (143357167550385).

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

131125441224015 is a wasteful number, since it uses less digits than its factorization.

131125441224015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627839 (or 2627822 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 131125441224015 its reverse (510422144521131), we get a palindrome (641547585745146).

The spelling of 131125441224015 in words is "one hundred thirty-one trillion, one hundred twenty-five billion, four hundred forty-one million, two hundred twenty-four thousand, fifteen".