131424312 has 64 divisors (see below), whose sum is σ = 336869280. Its totient is φ = 42711552.

The previous prime is 131424301. The next prime is 131424341. The reversal of 131424312 is 213424131.

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 15 ways as a sum of consecutive naturals, for example, 352158 + ... + 352530.

Almost surely, 2^131424312 is an apocalyptic number.

131424312 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 131424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168434640).

131424312 is an abundant number, since it is smaller than the sum of its proper divisors (205444968).

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

131424312 is a wasteful number, since it uses less digits than its factorization.

131424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 131424312 is about 11464.0443125452. The cubic root of 131424312 is about 508.4230567654.

Adding to 131424312 its reverse (213424131), we get a palindrome (344848443).

The spelling of 131424312 in words is "one hundred thirty-one million, four hundred twenty-four thousand, three hundred twelve".