312414304131 has 16 divisors (see below), whose sum is σ = 478795869600. Its totient is φ = 201094264224.

The previous prime is 312414304127. The next prime is 312414304151. The reversal of 312414304131 is 131403414213.

312414304131 is a `hidden beast` number, since 3 + 1 + 241 + 4 + 3 + 0 + 413 + 1 = 666.

It is not a de Polignac number, because 312414304131 - 2² = 312414304127 is a prime.

It is a super-2 number, since 2×312414304131² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312414304095 and 312414304104.

It is not an unprimeable number, because it can be changed into a prime (312414304121) 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 15 ways as a sum of consecutive naturals, for example, 199497496 + ... + 199499061.

It is an arithmetic number, because the mean of its divisors is an integer number (29924741850).

Almost surely, 2^312414304131 is an apocalyptic number.

312414304131 is a deficient number, since it is larger than the sum of its proper divisors (166381565469).

312414304131 is a wasteful number, since it uses less digits than its factorization.

312414304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398996595 (or 398996589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312414304131 its reverse (131403414213), we get a palindrome (443817718344).

The spelling of 312414304131 in words is "three hundred twelve billion, four hundred fourteen million, three hundred four thousand, one hundred thirty-one".