311693313 has 16 divisors (see below), whose sum is σ = 435408896. Its totient is φ = 198087120.

The previous prime is 311693311. The next prime is 311693321. The reversal of 311693313 is 313396113.

It is not a de Polignac number, because 311693313 - 2¹ = 311693311 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311693311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18781 + ... + 31242.

It is an arithmetic number, because the mean of its divisors is an integer number (27213056).

Almost surely, 2^311693313 is an apocalyptic number.

It is an amenable number.

311693313 is a deficient number, since it is larger than the sum of its proper divisors (123715583).

311693313 is a wasteful number, since it uses less digits than its factorization.

311693313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50124.

The product of its digits is 4374, while the sum is 30.

The square root of 311693313 is about 17654.8382320541. The cubic root of 311693313 is about 678.0199848792.

The spelling of 311693313 in words is "three hundred eleven million, six hundred ninety-three thousand, three hundred thirteen".