313331302313 has 2 divisors, whose sum is σ = 313331302314. Its totient is φ = 313331302312.

The previous prime is 313331302247. The next prime is 313331302373. The reversal of 313331302313 is 313203133313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285426268009 + 27905034304 = 534253^2 + 167048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313331302313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313331302373) 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, 156665651156 + 156665651157.

It is an arithmetic number, because the mean of its divisors is an integer number (156665651157).

Almost surely, 2^313331302313 is an apocalyptic number.

It is an amenable number.

313331302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313331302313 is an equidigital number, since it uses as much as digits as its factorization.

313331302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 313331302313 its reverse (313203133313), we get a palindrome (626534435626).

The spelling of 313331302313 in words is "three hundred thirteen billion, three hundred thirty-one million, three hundred two thousand, three hundred thirteen".