131112312 has 96 divisors (see below), whose sum is σ = 356158800. Its totient is φ = 40186368.

The previous prime is 131112283. The next prime is 131112323. The reversal of 131112312 is 213211131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 131112291 and 131112300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320364 + ... + 320772.

Almost surely, 2^131112312 is an apocalyptic number.

131112312 is a gapful number since it is divisible by the number (12) 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 131112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178079400).

131112312 is an abundant number, since it is smaller than the sum of its proper divisors (225046488).

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

131112312 is a wasteful number, since it uses less digits than its factorization.

131112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 470 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 131112312 is about 11450.4284635991. The cubic root of 131112312 is about 508.0204075543.

Adding to 131112312 its reverse (213211131), we get a palindrome (344323443).

The spelling of 131112312 in words is "one hundred thirty-one million, one hundred twelve thousand, three hundred twelve".