311020013 has 2 divisors, whose sum is σ = 311020014. Its totient is φ = 311020012.

The previous prime is 311019977. The next prime is 311020027. The reversal of 311020013 is 310020113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279458089 + 31561924 = 16717^2 + 5618^2 .

It is a cyclic number.

It is not a de Polignac number, because 311020013 - 2⁸ = 311019757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311019976 and 311020003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311020313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155510006 + 155510007.

It is an arithmetic number, because the mean of its divisors is an integer number (155510007).

Almost surely, 2^311020013 is an apocalyptic number.

It is an amenable number.

311020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311020013 is an equidigital number, since it uses as much as digits as its factorization.

311020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 311020013 is about 17635.7594959786. The cubic root of 311020013 is about 677.5314277619.

Adding to 311020013 its reverse (310020113), we get a palindrome (621040126).

The spelling of 311020013 in words is "three hundred eleven million, twenty thousand, thirteen".