3113131131 has 32 divisors (see below), whose sum is σ = 5036240640. Its totient is φ = 1884902400.

The previous prime is 3113131127. The next prime is 3113131159. The reversal of 3113131131 is 1311313113.

3113131131 is a `hidden beast` number, since 311 + 313 + 11 + 31 = 666.

It is not a de Polignac number, because 3113131131 - 2² = 3113131127 is a prime.

It is a super-2 number, since 2×3113131131² = 19383170877602678322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3113131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337896 + ... + 346986.

It is an arithmetic number, because the mean of its divisors is an integer number (157382520).

Almost surely, 2^3113131131 is an apocalyptic number.

3113131131 is a deficient number, since it is larger than the sum of its proper divisors (1923109509).

3113131131 is a wasteful number, since it uses less digits than its factorization.

3113131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10258 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 3113131131 is about 55795.4400556174. The cubic root of 3113131131 is about 1460.1555990730.

Adding to 3113131131 its reverse (1311313113), we get a palindrome (4424444244).

The spelling of 3113131131 in words is "three billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-one".