311321313337 has 2 divisors, whose sum is σ = 311321313338. Its totient is φ = 311321313336.

The previous prime is 311321313229. The next prime is 311321313343. The reversal of 311321313337 is 733313123113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171074059321 + 140247254016 = 413611^2 + 374496^2 .

It is an emirp because it is prime and its reverse (733313123113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311321313337 - 2¹⁹ = 311320789049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311321313299 and 311321313308.

It is not a weakly prime, because it can be changed into another prime (311321313367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155660656668 + 155660656669.

It is an arithmetic number, because the mean of its divisors is an integer number (155660656669).

Almost surely, 2^311321313337 is an apocalyptic number.

It is an amenable number.

311321313337 is a deficient number, since it is larger than the sum of its proper divisors (1).

311321313337 is an equidigital number, since it uses as much as digits as its factorization.

311321313337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 31.

The spelling of 311321313337 in words is "three hundred eleven billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-seven".