313131317 has 2 divisors, whose sum is σ = 313131318. Its totient is φ = 313131316.

The previous prime is 313131257. The next prime is 313131331. The reversal of 313131317 is 713131313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303944356 + 9186961 = 17434^2 + 3031^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313131317 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 313131292 and 313131301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565658 + 156565659.

It is an arithmetic number, because the mean of its divisors is an integer number (156565659).

Almost surely, 2^313131317 is an apocalyptic number.

It is an amenable number.

313131317 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131317 is an equidigital number, since it uses as much as digits as its factorization.

313131317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 23.

The square root of 313131317 is about 17695.5168616235. The cubic root of 313131317 is about 679.0610722272.

The spelling of 313131317 in words is "three hundred thirteen million, one hundred thirty-one thousand, three hundred seventeen".