311121141201 has 24 divisors (see below), whose sum is σ = 486422937000. Its totient is φ = 190487275776.

The previous prime is 311121141187. The next prime is 311121141223. The reversal of 311121141201 is 102141121113.

311121141201 is a `hidden beast` number, since 31 + 11 + 211 + 412 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38151464976 + 272969676225 = 195324^2 + 522465^2 .

It is not a de Polignac number, because 311121141201 - 2¹⁷ = 311121010129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311121141601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6726076 + ... + 6772173.

It is an arithmetic number, because the mean of its divisors is an integer number (20267622375).

Almost surely, 2^311121141201 is an apocalyptic number.

It is an amenable number.

311121141201 is a deficient number, since it is larger than the sum of its proper divisors (175301795799).

311121141201 is a wasteful number, since it uses less digits than its factorization.

311121141201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498465 (or 13498462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 311121141201 its reverse (102141121113), we get a palindrome (413262262314).

The spelling of 311121141201 in words is "three hundred eleven billion, one hundred twenty-one million, one hundred forty-one thousand, two hundred one".