311020321211113 has 2 divisors, whose sum is σ = 311020321211114. Its totient is φ = 311020321211112.

The previous prime is 311020321211071. The next prime is 311020321211153. The reversal of 311020321211113 is 311112123020113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175535656526169 + 135484664684944 = 13248987^2 + 11639788^2 .

It is a cyclic number.

It is not a de Polignac number, because 311020321211113 - 2¹⁷ = 311020321080041 is a prime.

It is a super-2 number, since 2×311020321211113² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311020321211153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155510160605556 + 155510160605557.

It is an arithmetic number, because the mean of its divisors is an integer number (155510160605557).

Almost surely, 2^{311020321211113} is an apocalyptic number.

It is an amenable number.

311020321211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311020321211113 is an equidigital number, since it uses as much as digits as its factorization.

311020321211113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 311020321211113 its reverse (311112123020113), we get a palindrome (622132444231226).

The spelling of 311020321211113 in words is "three hundred eleven trillion, twenty billion, three hundred twenty-one million, two hundred eleven thousand, one hundred thirteen".