313313 has 16 divisors (see below), whose sum is σ = 422016. Its totient is φ = 224640.

The previous prime is 313307. The next prime is 313321.

313313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313313 - 2⁴ = 313297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (26376).

2³¹³³¹³ is an apocalyptic number.

It is an amenable number.

313313 is a deficient number, since it is larger than the sum of its proper divisors (108703).

313313 is a wasteful number, since it uses less digits than its factorization.

313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its digits is 81, while the sum is 14.

The square root of 313313 is about 559.7436913445. The cubic root of 313313 is about 67.9192380289.

It can be divided in two parts, 313 and 313, that added together give a palindrome (626).

The spelling of 313313 in words is "three hundred thirteen thousand, three hundred thirteen".