313313321 has 2 divisors, whose sum is σ = 313313322. Its totient is φ = 313313320.

The previous prime is 313313317. The next prime is 313313333. The reversal of 313313321 is 123313313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290225296 + 23088025 = 17036^2 + 4805^2 .

It is a cyclic number.

It is not a de Polignac number, because 313313321 - 2² = 313313317 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313313293 and 313313302.

It is not a weakly prime, because it can be changed into another prime (313313381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656660 + 156656661.

It is an arithmetic number, because the mean of its divisors is an integer number (156656661).

Almost surely, 2^313313321 is an apocalyptic number.

It is an amenable number.

313313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313313321 is an equidigital number, since it uses as much as digits as its factorization.

313313321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 20.

The square root of 313313321 is about 17700.6587730514. The cubic root of 313313321 is about 679.1926122414.

Adding to 313313321 its reverse (123313313), we get a palindrome (436626634).

The spelling of 313313321 in words is "three hundred thirteen million, three hundred thirteen thousand, three hundred twenty-one".