2113312131 has 72 divisors (see below), whose sum is σ = 3625090560. Its totient is φ = 1182698496.

The previous prime is 2113312111. The next prime is 2113312139. The reversal of 2113312131 is 1312133112.

It is not a de Polignac number, because 2113312131 - 2¹⁰ = 2113311107 is a prime.

It is a super-2 number, since 2×2113312131² = 8932176326063522322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113312139) 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 71 ways as a sum of consecutive naturals, for example, 5432485 + ... + 5432873.

It is an arithmetic number, because the mean of its divisors is an integer number (50348480).

Almost surely, 2^2113312131 is an apocalyptic number.

2113312131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113312131 is a deficient number, since it is larger than the sum of its proper divisors (1511778429).

2113312131 is a wasteful number, since it uses less digits than its factorization.

2113312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2113312131 is about 45970.7747487466. The cubic root of 2113312131 is about 1283.2793780805.

Adding to 2113312131 its reverse (1312133112), we get a palindrome (3425445243).

The spelling of 2113312131 in words is "two billion, one hundred thirteen million, three hundred twelve thousand, one hundred thirty-one".