313133313 has 12 divisors (see below), whose sum is σ = 424482864. Its totient is φ = 205326000.

The previous prime is 313133311. The next prime is 313133321. The reversal of 313133313 is 313331313.

It is not a de Polignac number, because 313133313 - 2¹ = 313133311 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 313133313.

It is not an unprimeable number, because it can be changed into a prime (313133311) 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, 2863 + ... + 25188.

It is an arithmetic number, because the mean of its divisors is an integer number (35373572).

Almost surely, 2^313133313 is an apocalyptic number.

It is an amenable number.

313133313 is a deficient number, since it is larger than the sum of its proper divisors (111349551).

313133313 is an equidigital number, since it uses as much as digits as its factorization.

313133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28176 (or 28115 counting only the distinct ones).

The product of its digits is 729, while the sum is 21.

The square root of 313133313 is about 17695.5732599992. The cubic root of 313133313 is about 679.0625150756.

Adding to 313133313 its reverse (313331313), we get a palindrome (626464626).

The spelling of 313133313 in words is "three hundred thirteen million, one hundred thirty-three thousand, three hundred thirteen".