313111313 has 2 divisors, whose sum is σ = 313111314. Its totient is φ = 313111312.

The previous prime is 313111307. The next prime is 313111319.

313111313 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (313111307) and next prime (313111319).

It can be written as a sum of positive squares in only one way, i.e., 248598289 + 64513024 = 15767^2 + 8032^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313111313 - 2¹⁰ = 313110289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313111291 and 313111300.

It is not a weakly prime, because it can be changed into another prime (313111319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555656 + 156555657.

It is an arithmetic number, because the mean of its divisors is an integer number (156555657).

Almost surely, 2^313111313 is an apocalyptic number.

It is an amenable number.

313111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313111313 is an equidigital number, since it uses as much as digits as its factorization.

313111313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81, while the sum is 17.

The square root of 313111313 is about 17694.9516246866. The cubic root of 313111313 is about 679.0466115987.

The spelling of 313111313 in words is "three hundred thirteen million, one hundred eleven thousand, three hundred thirteen".