311144441113 has 16 divisors (see below), whose sum is σ = 344524593600. Its totient is φ = 278643343680.

The previous prime is 311144441093. The next prime is 311144441119.

311144441113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311144441113 - 2²¹ = 311142343961 is a prime.

It is a super-2 number, since 2×311144441113² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311144441119) 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, 542583 + ... + 957436.

It is an arithmetic number, because the mean of its divisors is an integer number (21532787100).

Almost surely, 2^311144441113 is an apocalyptic number.

It is an amenable number.

311144441113 is a deficient number, since it is larger than the sum of its proper divisors (33380152487).

311144441113 is a wasteful number, since it uses less digits than its factorization.

311144441113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500312.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 311144 and 441113, that added together give a palindrome (752257).

The spelling of 311144441113 in words is "three hundred eleven billion, one hundred forty-four million, four hundred forty-one thousand, one hundred thirteen".