311113223331121 has 2 divisors, whose sum is σ = 311113223331122. Its totient is φ = 311113223331120.

The previous prime is 311113223331077. The next prime is 311113223331133. The reversal of 311113223331121 is 121133322311113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229123168344225 + 81990054986896 = 15136815^2 + 9054836^2 .

It is a cyclic number.

It is not a de Polignac number, because 311113223331121 - 2³⁷ = 310975784377649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311113223331121.

It is not a weakly prime, because it can be changed into another prime (311113223331191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155556611665560 + 155556611665561.

It is an arithmetic number, because the mean of its divisors is an integer number (155556611665561).

Almost surely, 2^{311113223331121} is an apocalyptic number.

It is an amenable number.

311113223331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311113223331121 is an equidigital number, since it uses as much as digits as its factorization.

311113223331121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 28.

Adding to 311113223331121 its reverse (121133322311113), we get a palindrome (432246545642234).

The spelling of 311113223331121 in words is "three hundred eleven trillion, one hundred thirteen billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty-one".