313505321 has 2 divisors, whose sum is σ = 313505322. Its totient is φ = 313505320.

The previous prime is 313505317. The next prime is 313505327. The reversal of 313505321 is 123505313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286828096 + 26677225 = 16936^2 + 5165^2 .

It is an emirp because it is prime and its reverse (123505313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313505321 - 2² = 313505317 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313505327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156752660 + 156752661.

It is an arithmetic number, because the mean of its divisors is an integer number (156752661).

Almost surely, 2^313505321 is an apocalyptic number.

It is an amenable number.

313505321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313505321 is an equidigital number, since it uses as much as digits as its factorization.

313505321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 313505321 is about 17706.0814693709. The cubic root of 313505321 is about 679.3313214762.

The spelling of 313505321 in words is "three hundred thirteen million, five hundred five thousand, three hundred twenty-one".