311312133121 has 16 divisors (see below), whose sum is σ = 340421050368. Its totient is φ = 282338254800.

The previous prime is 311312133103. The next prime is 311312133199. The reversal of 311312133121 is 121331213113.

It is a cyclic number.

It is not a de Polignac number, because 311312133121 - 2⁷ = 311312132993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311312133092 and 311312133101.

It is not an unprimeable number, because it can be changed into a prime (311312193121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19343740 + ... + 19359826.

It is an arithmetic number, because the mean of its divisors is an integer number (21276315648).

Almost surely, 2^311312133121 is an apocalyptic number.

It is an amenable number.

311312133121 is a deficient number, since it is larger than the sum of its proper divisors (29108917247).

311312133121 is a wasteful number, since it uses less digits than its factorization.

311312133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172.

The product of its digits is 324, while the sum is 22.

Adding to 311312133121 its reverse (121331213113), we get a palindrome (432643346234).

The spelling of 311312133121 in words is "three hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, one hundred twenty-one".