311302132013 has 2 divisors, whose sum is σ = 311302132014. Its totient is φ = 311302132012.

The previous prime is 311302131983. The next prime is 311302132039. The reversal of 311302132013 is 310231203113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201186337444 + 110115794569 = 448538^2 + 331837^2 .

It is a cyclic number.

It is not a de Polignac number, because 311302132013 - 2¹⁸ = 311301869869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311302132073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155651066006 + 155651066007.

It is an arithmetic number, because the mean of its divisors is an integer number (155651066007).

Almost surely, 2^311302132013 is an apocalyptic number.

It is an amenable number.

311302132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311302132013 is an equidigital number, since it uses as much as digits as its factorization.

311302132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 311302132013 its reverse (310231203113), we get a palindrome (621533335126).

The spelling of 311302132013 in words is "three hundred eleven billion, three hundred two million, one hundred thirty-two thousand, thirteen".