313310321 has 2 divisors, whose sum is σ = 313310322. Its totient is φ = 313310320.

The previous prime is 313310293. The next prime is 313310351. The reversal of 313310321 is 123013313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312900721 + 409600 = 17689^2 + 640^2 .

It is an emirp because it is prime and its reverse (123013313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313310321 - 2²⁶ = 246201457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313310321.

It is not a weakly prime, because it can be changed into another prime (313310351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156655160 + 156655161.

It is an arithmetic number, because the mean of its divisors is an integer number (156655161).

Almost surely, 2^313310321 is an apocalyptic number.

It is an amenable number.

313310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313310321 is an equidigital number, since it uses as much as digits as its factorization.

313310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 313310321 is about 17700.5740302398. The cubic root of 313310321 is about 679.1904444601.

Adding to 313310321 its reverse (123013313), we get a palindrome (436323634).

The spelling of 313310321 in words is "three hundred thirteen million, three hundred ten thousand, three hundred twenty-one".