131342112 has 108 divisors (see below), whose sum is σ = 410654790. Its totient is φ = 39790080.

The previous prime is 131342087. The next prime is 131342129. The reversal of 131342112 is 211243131.

It can be written as a sum of positive squares in only one way, i.e., 92852496 + 38489616 = 9636^2 + 6204^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 32964 + ... + 36732.

Almost surely, 2^131342112 is an apocalyptic number.

131342112 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 131342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205327395).

131342112 is an abundant number, since it is smaller than the sum of its proper divisors (279312678).

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

131342112 is a wasteful number, since it uses less digits than its factorization.

131342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3785 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131342112 is about 11460.4586295663. The cubic root of 131342112 is about 508.3170360686.

Adding to 131342112 its reverse (211243131), we get a palindrome (342585243).

It can be divided in two parts, 131 and 342112, that added together give a palindrome (342243).

The spelling of 131342112 in words is "one hundred thirty-one million, three hundred forty-two thousand, one hundred twelve".