131312112 has 80 divisors (see below), whose sum is σ = 352156032. Its totient is φ = 42128640.

The previous prime is 131312047. The next prime is 131312147. The reversal of 131312112 is 211213131.

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 = 131312091 and 131312100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189687 + ... + 190377.

Almost surely, 2^131312112 is an apocalyptic number.

131312112 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 131312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176078016).

131312112 is an abundant number, since it is smaller than the sum of its proper divisors (220843920).

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

131312112 is a wasteful number, since it uses less digits than its factorization.

131312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

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

The square root of 131312112 is about 11459.1497066754. The cubic root of 131312112 is about 508.2783313657.

Adding to 131312112 its reverse (211213131), we get a palindrome (342525243).

The spelling of 131312112 in words is "one hundred thirty-one million, three hundred twelve thousand, one hundred twelve".