311331020113 has 2 divisors, whose sum is σ = 311331020114. Its totient is φ = 311331020112.

The previous prime is 311331020111. The next prime is 311331020137. The reversal of 311331020113 is 311020133113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285040667664 + 26290352449 = 533892^2 + 162143^2 .

It is a cyclic number.

It is not a de Polignac number, because 311331020113 - 2¹ = 311331020111 is a prime.

Together with 311331020111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (311331020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665510056 + 155665510057.

It is an arithmetic number, because the mean of its divisors is an integer number (155665510057).

Almost surely, 2^311331020113 is an apocalyptic number.

It is an amenable number.

311331020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331020113 is an equidigital number, since it uses as much as digits as its factorization.

311331020113 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 19.

Adding to 311331020113 its reverse (311020133113), we get a palindrome (622351153226).

The spelling of 311331020113 in words is "three hundred eleven billion, three hundred thirty-one million, twenty thousand, one hundred thirteen".