131396112 has 60 divisors (see below), whose sum is σ = 373242480. Its totient is φ = 43141824.

The previous prime is 131396099. The next prime is 131396113. The reversal of 131396112 is 211693131.

131396112 is a `hidden beast` number, since 13 + 1 + 39 + 611 + 2 = 666.

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 (131396113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2839 + ... + 16457.

It is an arithmetic number, because the mean of its divisors is an integer number (6220708).

Almost surely, 2^131396112 is an apocalyptic number.

131396112 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 131396112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186621240).

131396112 is an abundant number, since it is smaller than the sum of its proper divisors (241846368).

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

131396112 is a wasteful number, since it uses less digits than its factorization.

131396112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13700 (or 13691 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 131396112 is about 11462.8143141202. The cubic root of 131396112 is about 508.3866896844.

The spelling of 131396112 in words is "one hundred thirty-one million, three hundred ninety-six thousand, one hundred twelve".