131349312 has 84 divisors (see below), whose sum is σ = 379069600. Its totient is φ = 43483392.

The previous prime is 131349307. The next prime is 131349329. The reversal of 131349312 is 213943131.

131349312 is a `hidden beast` number, since 1 + 3 + 1 + 349 + 312 = 666.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 93189 + ... + 94587.

Almost surely, 2^131349312 is an apocalyptic number.

131349312 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 131349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189534800).

131349312 is an abundant number, since it is smaller than the sum of its proper divisors (247720288).

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

131349312 is a wasteful number, since it uses less digits than its factorization.

131349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1567 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 131349312 is about 11460.7727488158. The cubic root of 131349312 is about 508.3263243203.

It can be divided in two parts, 1313 and 49312, that added together give a 4-th power (50625 = 15⁴).

The spelling of 131349312 in words is "one hundred thirty-one million, three hundred forty-nine thousand, three hundred twelve".