313413329 has 2 divisors, whose sum is σ = 313413330. Its totient is φ = 313413328.

The previous prime is 313413323. The next prime is 313413349. The reversal of 313413329 is 923314313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313113025 + 300304 = 17695^2 + 548^2 .

It is an emirp because it is prime and its reverse (923314313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313413329 - 2⁴ = 313413313 is a prime.

It is not a weakly prime, because it can be changed into another prime (313413323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156706664 + 156706665.

It is an arithmetic number, because the mean of its divisors is an integer number (156706665).

Almost surely, 2^313413329 is an apocalyptic number.

It is an amenable number.

313413329 is a deficient number, since it is larger than the sum of its proper divisors (1).

313413329 is an equidigital number, since it uses as much as digits as its factorization.

313413329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 29.

The square root of 313413329 is about 17703.4835272610. The cubic root of 313413329 is about 679.2648694830.

The spelling of 313413329 in words is "three hundred thirteen million, four hundred thirteen thousand, three hundred twenty-nine".