311161113 has 24 divisors (see below), whose sum is σ = 459070248. Its totient is φ = 203046912.

The previous prime is 311161099. The next prime is 311161127.

311161113 is a `hidden beast` number, since 31 + 11 + 611 + 13 = 666.

311161113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (311161099) and next prime (311161127).

It can be written as a sum of positive squares in 4 ways, for example, as 5890329 + 305270784 = 2427^2 + 17472^2 .

It is not a de Polignac number, because 311161113 - 2¹⁰ = 311160089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311161133) 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, 88281 + ... + 91737.

It is an arithmetic number, because the mean of its divisors is an integer number (19127927).

Almost surely, 2^311161113 is an apocalyptic number.

It is an amenable number.

311161113 is a deficient number, since it is larger than the sum of its proper divisors (147909135).

311161113 is a wasteful number, since it uses less digits than its factorization.

311161113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3670 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 311161113 is about 17639.7594371352. The cubic root of 311161113 is about 677.6338705065.

The spelling of 311161113 in words is "three hundred eleven million, one hundred sixty-one thousand, one hundred thirteen".