311323131013 has 2 divisors, whose sum is σ = 311323131014. Its totient is φ = 311323131012.

The previous prime is 311323131011. The next prime is 311323131019. The reversal of 311323131013 is 310131323113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248994014049 + 62329116964 = 498993^2 + 249658^2 .

It is an emirp because it is prime and its reverse (310131323113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311323131013 - 2¹ = 311323131011 is a prime.

Together with 311323131011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311323131011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155661565506 + 155661565507.

It is an arithmetic number, because the mean of its divisors is an integer number (155661565507).

Almost surely, 2^311323131013 is an apocalyptic number.

It is an amenable number.

311323131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311323131013 is an equidigital number, since it uses as much as digits as its factorization.

311323131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 311323131013 its reverse (310131323113), we get a palindrome (621454454126).

The spelling of 311323131013 in words is "three hundred eleven billion, three hundred twenty-three million, one hundred thirty-one thousand, thirteen".