313311329 has 2 divisors, whose sum is σ = 313311330. Its totient is φ = 313311328.

The previous prime is 313311319. The next prime is 313311391. The reversal of 313311329 is 923113313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284934400 + 28376929 = 16880^2 + 5327^2 .

It is a cyclic number.

It is not a de Polignac number, because 313311329 - 2¹² = 313307233 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 313311298 and 313311307.

It is not a weakly prime, because it can be changed into another prime (313311319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156655664 + 156655665.

It is an arithmetic number, because the mean of its divisors is an integer number (156655665).

Almost surely, 2^313311329 is an apocalyptic number.

It is an amenable number.

313311329 is a deficient number, since it is larger than the sum of its proper divisors (1).

313311329 is an equidigital number, since it uses as much as digits as its factorization.

313311329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 26.

The square root of 313311329 is about 17700.6025038697. The cubic root of 313311329 is about 679.1911728362.

The spelling of 313311329 in words is "three hundred thirteen million, three hundred eleven thousand, three hundred twenty-nine".