131383296 has 210 divisors, whose sum is σ = 429771972. Its totient is φ = 39813120.

The previous prime is 131383289. The next prime is 131383297. The reversal of 131383296 is 692383131.

It is a Harshad number since it is a multiple of its sum of digits (36).

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.

Its product of digits (23328) is a multiple of the sum of its prime divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 131383296.

It is not an unprimeable number, because it can be changed into a prime (131383297) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11943931 + ... + 11943941.

Almost surely, 2^131383296 is an apocalyptic number.

131383296 is a gapful number since it is divisible by the number (16) 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 131383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214885986).

131383296 is an abundant number, since it is smaller than the sum of its proper divisors (298388676).

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

131383296 is an frugal number, since it uses more digits than its factorization.

131383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 16 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131383296 is about 11462.2552754683. The cubic root of 131383296 is about 508.3701602870.

The spelling of 131383296 in words is "one hundred thirty-one million, three hundred eighty-three thousand, two hundred ninety-six".