312123002137 has 2 divisors, whose sum is σ = 312123002138. Its totient is φ = 312123002136.

The previous prime is 312123002077. The next prime is 312123002143. The reversal of 312123002137 is 731200321213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178621188496 + 133501813641 = 422636^2 + 365379^2 .

It is a cyclic number.

It is not a de Polignac number, because 312123002137 - 2²⁷ = 311988784409 is a prime.

It is not a weakly prime, because it can be changed into another prime (312123002237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061501068 + 156061501069.

It is an arithmetic number, because the mean of its divisors is an integer number (156061501069).

Almost surely, 2^312123002137 is an apocalyptic number.

It is an amenable number.

312123002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123002137 is an equidigital number, since it uses as much as digits as its factorization.

312123002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 312123002137 in words is "three hundred twelve billion, one hundred twenty-three million, two thousand, one hundred thirty-seven".