313012317953 has 2 divisors, whose sum is σ = 313012317954. Its totient is φ = 313012317952.

The previous prime is 313012317931. The next prime is 313012317971. The reversal of 313012317953 is 359713210313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165919358224 + 147092959729 = 407332^2 + 383527^2 .

It is a cyclic number.

It is not a de Polignac number, because 313012317953 - 2⁶ = 313012317889 is a prime.

It is a super-2 number, since 2×313012317953² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313012317973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506158976 + 156506158977.

It is an arithmetic number, because the mean of its divisors is an integer number (156506158977).

Almost surely, 2^313012317953 is an apocalyptic number.

It is an amenable number.

313012317953 is a deficient number, since it is larger than the sum of its proper divisors (1).

313012317953 is an equidigital number, since it uses as much as digits as its factorization.

313012317953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 38.

The spelling of 313012317953 in words is "three hundred thirteen billion, twelve million, three hundred seventeen thousand, nine hundred fifty-three".