131350452502041 has 48 divisors (see below), whose sum is σ = 190641868045200. Its totient is φ = 87146146289664.

The previous prime is 131350452502033. The next prime is 131350452502057. The reversal of 131350452502041 is 140205254053131.

131350452502041 is a `hidden beast` number, since 1 + 3 + 1 + 350 + 4 + 52 + 50 + 204 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5436806236416 + 125913646265625 = 2331696^2 + 11221125^2 .

It is not a de Polignac number, because 131350452502041 - 2³ = 131350452502033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131350452501987 and 131350452502005.

It is not an unprimeable number, because it can be changed into a prime (131350452502081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11267940685 + ... + 11267952341.

It is an arithmetic number, because the mean of its divisors is an integer number (3971705584275).

Almost surely, 2^{131350452502041} is an apocalyptic number.

It is an amenable number.

131350452502041 is a deficient number, since it is larger than the sum of its proper divisors (59291415543159).

131350452502041 is a wasteful number, since it uses less digits than its factorization.

131350452502041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16615 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 131350452502041 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred fifty-two million, five hundred two thousand, forty-one".