313020010233257 has 2 divisors, whose sum is σ = 313020010233258. Its totient is φ = 313020010233256.

The previous prime is 313020010233197. The next prime is 313020010233269. The reversal of 313020010233257 is 752332010020313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183492598851136 + 129527411382121 = 13545944^2 + 11381011^2 .

It is a cyclic number.

It is not a de Polignac number, because 313020010233257 - 2¹⁶ = 313020010167721 is a prime.

It is not a weakly prime, because it can be changed into another prime (313020010233457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156510005116628 + 156510005116629.

It is an arithmetic number, because the mean of its divisors is an integer number (156510005116629).

Almost surely, 2^{313020010233257} is an apocalyptic number.

It is an amenable number.

313020010233257 is a deficient number, since it is larger than the sum of its proper divisors (1).

313020010233257 is an equidigital number, since it uses as much as digits as its factorization.

313020010233257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 313020010233257 in words is "three hundred thirteen trillion, twenty billion, ten million, two hundred thirty-three thousand, two hundred fifty-seven".