2131111312 has 60 divisors (see below), whose sum is σ = 4553266608. Its totient is φ = 958288000.

The previous prime is 2131111247. The next prime is 2131111321.

It is a happy number.

2131111312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131111312² = 9083270848268722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794783 + ... + 1795969.

Almost surely, 2^2131111312 is an apocalyptic number.

2131111312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276633304).

2131111312 is an abundant number, since it is smaller than the sum of its proper divisors (2422155296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131111312 is a wasteful number, since it uses less digits than its factorization.

2131111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1301 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 2131111312 is about 46163.9611818570. The cubic root of 2131111312 is about 1286.8720787903.

It can be divided in two parts, 21311 and 11312, that added together give a palindrome (32623).

The spelling of 2131111312 in words is "two billion, one hundred thirty-one million, one hundred eleven thousand, three hundred twelve".