312130233137 has 2 divisors, whose sum is σ = 312130233138. Its totient is φ = 312130233136.

The previous prime is 312130233097. The next prime is 312130233221. The reversal of 312130233137 is 731332031213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188209336561 + 123920896576 = 433831^2 + 352024^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312130233137 is a prime.

It is a super-3 number, since 3×312130233137³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (312130233937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065116568 + 156065116569.

It is an arithmetic number, because the mean of its divisors is an integer number (156065116569).

Almost surely, 2^312130233137 is an apocalyptic number.

It is an amenable number.

312130233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312130233137 is an equidigital number, since it uses as much as digits as its factorization.

312130233137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

The spelling of 312130233137 in words is "three hundred twelve billion, one hundred thirty million, two hundred thirty-three thousand, one hundred thirty-seven".