311311121 has 16 divisors (see below), whose sum is σ = 348811008. Its totient is φ = 275443200.

The previous prime is 311311109. The next prime is 311311139. The reversal of 311311121 is 121113113.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311311121 is a prime.

It is a super-2 number, since 2×311311121² = 193829228116553282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311311096 and 311311105.

It is not an unprimeable number, because it can be changed into a prime (311319121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62696 + ... + 67478.

It is an arithmetic number, because the mean of its divisors is an integer number (21800688).

Almost surely, 2^311311121 is an apocalyptic number.

It is an amenable number.

311311121 is a deficient number, since it is larger than the sum of its proper divisors (37499887).

311311121 is a wasteful number, since it uses less digits than its factorization.

311311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952.

The product of its digits is 18, while the sum is 14.

The square root of 311311121 is about 17644.0109102211. The cubic root of 311311121 is about 677.7427467626.

Adding to 311311121 its reverse (121113113), we get a palindrome (432424234).

The spelling of 311311121 in words is "three hundred eleven million, three hundred eleven thousand, one hundred twenty-one".