331412262214131 has 192 divisors, whose sum is σ = 607052675174400. Its totient is φ = 176475226663296.

The previous prime is 331412262214129. The next prime is 331412262214153. The reversal of 331412262214131 is 131412262214133.

331412262214131 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 1 + 2 + 2 + 622 + 14 + 13 + 1 = 666.

It is not a de Polignac number, because 331412262214131 - 2¹ = 331412262214129 is a prime.

It is a super-2 number, since 2×331412262214131² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331412262210131) 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 191 ways as a sum of consecutive naturals, for example, 614017480 + ... + 614556986.

It is an arithmetic number, because the mean of its divisors is an integer number (3161732683200).

Almost surely, 2^{331412262214131} is an apocalyptic number.

331412262214131 is a deficient number, since it is larger than the sum of its proper divisors (275640412960269).

331412262214131 is a wasteful number, since it uses less digits than its factorization.

331412262214131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539860 (or 539848 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 331412262214131 in words is "three hundred thirty-one trillion, four hundred twelve billion, two hundred sixty-two million, two hundred fourteen thousand, one hundred thirty-one".