312202313321057 has 2 divisors, whose sum is σ = 312202313321058. Its totient is φ = 312202313321056.

The previous prime is 312202313321047. The next prime is 312202313321149. The reversal of 312202313321057 is 750123313202213.

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., 256611212389921 + 55591100931136 = 16019089^2 + 7455944^2 .

It is an emirp because it is prime and its reverse (750123313202213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312202313321057 - 2¹⁰ = 312202313320033 is a prime.

It is a super-2 number, since 2×312202313321057² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312202313321027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101156660528 + 156101156660529.

It is an arithmetic number, because the mean of its divisors is an integer number (156101156660529).

Almost surely, 2^{312202313321057} is an apocalyptic number.

It is an amenable number.

312202313321057 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202313321057 is an equidigital number, since it uses as much as digits as its factorization.

312202313321057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 312202313321057 in words is "three hundred twelve trillion, two hundred two billion, three hundred thirteen million, three hundred twenty-one thousand, fifty-seven".