313233307 has 2 divisors, whose sum is σ = 313233308. Its totient is φ = 313233306.

The previous prime is 313233293. The next prime is 313233311. The reversal of 313233307 is 703332313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313233307 - 2¹⁵ = 313200539 is a prime.

It is a super-2 number, since 2×313233307² = 196230209228312498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313233337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156616653 + 156616654.

It is an arithmetic number, because the mean of its divisors is an integer number (156616654).

Almost surely, 2^313233307 is an apocalyptic number.

313233307 is a deficient number, since it is larger than the sum of its proper divisors (1).

313233307 is an equidigital number, since it uses as much as digits as its factorization.

313233307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 25.

The square root of 313233307 is about 17698.3984303665. The cubic root of 313233307 is about 679.1347898840.

The spelling of 313233307 in words is "three hundred thirteen million, two hundred thirty-three thousand, three hundred seven".