311111121111313 has 2 divisors, whose sum is σ = 311111121111314. Its totient is φ = 311111121111312.

The previous prime is 311111121111257. The next prime is 311111121111317. The reversal of 311111121111313 is 313111121111113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241825607852049 + 69285513259264 = 15550743^2 + 8323792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311111121111313 is a prime.

It is a super-2 number, since 2×311111121111313² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311111121111317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155555560555656 + 155555560555657.

It is an arithmetic number, because the mean of its divisors is an integer number (155555560555657).

Almost surely, 2^{311111121111313} is an apocalyptic number.

It is an amenable number.

311111121111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311111121111313 is an equidigital number, since it uses as much as digits as its factorization.

311111121111313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 22.

Adding to 311111121111313 its reverse (313111121111113), we get a palindrome (624222242222426).

The spelling of 311111121111313 in words is "three hundred eleven trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, three hundred thirteen".