313949313 has 12 divisors (see below), whose sum is σ = 454671360. Its totient is φ = 208750776.

The previous prime is 313949303. The next prime is 313949323.

313949313 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (313949303) and next prime (313949323).

It is not a de Polignac number, because 313949313 - 2⁴ = 313949297 is a prime.

It is a super-2 number, since 2×313949313² = 197128342266343938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313949303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42093 + ... + 48986.

It is an arithmetic number, because the mean of its divisors is an integer number (37889280).

Almost surely, 2^313949313 is an apocalyptic number.

It is an amenable number.

313949313 is a deficient number, since it is larger than the sum of its proper divisors (140722047).

313949313 is a wasteful number, since it uses less digits than its factorization.

313949313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91468 (or 91465 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 313949313 is about 17718.6148725006. The cubic root of 313949313 is about 679.6518640405.

The spelling of 313949313 in words is "three hundred thirteen million, nine hundred forty-nine thousand, three hundred thirteen".