313321003313 has 2 divisors, whose sum is σ = 313321003314. Its totient is φ = 313321003312.

The previous prime is 313321003297. The next prime is 313321003321. The reversal of 313321003313 is 313300123313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215080757824 + 98240245489 = 463768^2 + 313433^2 .

It is an emirp because it is prime and its reverse (313300123313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313321003313 - 2⁴ = 313321003297 is a prime.

It is a super-2 number, since 2×313321003313² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313321033313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156660501656 + 156660501657.

It is an arithmetic number, because the mean of its divisors is an integer number (156660501657).

Almost surely, 2^313321003313 is an apocalyptic number.

It is an amenable number.

313321003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313321003313 is an equidigital number, since it uses as much as digits as its factorization.

313321003313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 313321003313 its reverse (313300123313), we get a palindrome (626621126626).

The spelling of 313321003313 in words is "three hundred thirteen billion, three hundred twenty-one million, three thousand, three hundred thirteen".