312221121312137 has 2 divisors, whose sum is σ = 312221121312138. Its totient is φ = 312221121312136.

The previous prime is 312221121312119. The next prime is 312221121312151. The reversal of 312221121312137 is 731213121122213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176665141903936 + 135555979408201 = 13291544^2 + 11642851^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221121312137 - 2⁴⁴ = 294628935267721 is a prime.

It is not a weakly prime, because it can be changed into another prime (312221121312187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110560656068 + 156110560656069.

It is an arithmetic number, because the mean of its divisors is an integer number (156110560656069).

Almost surely, 2^{312221121312137} is an apocalyptic number.

It is an amenable number.

312221121312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221121312137 is an equidigital number, since it uses as much as digits as its factorization.

312221121312137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 32.

The spelling of 312221121312137 in words is "three hundred twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, three hundred twelve thousand, one hundred thirty-seven".