312311220337 has 2 divisors, whose sum is σ = 312311220338. Its totient is φ = 312311220336.

The previous prime is 312311220329. The next prime is 312311220509. The reversal of 312311220337 is 733022113213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227914579216 + 84396641121 = 477404^2 + 290511^2 .

It is a cyclic number.

It is not a de Polignac number, because 312311220337 - 2³ = 312311220329 is a prime.

It is not a weakly prime, because it can be changed into another prime (312311227337) 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, 156155610168 + 156155610169.

It is an arithmetic number, because the mean of its divisors is an integer number (156155610169).

Almost surely, 2^312311220337 is an apocalyptic number.

It is an amenable number.

312311220337 is a deficient number, since it is larger than the sum of its proper divisors (1).

312311220337 is an equidigital number, since it uses as much as digits as its factorization.

312311220337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 312311220337 in words is "three hundred twelve billion, three hundred eleven million, two hundred twenty thousand, three hundred thirty-seven".