131320992 has 96 divisors (see below), whose sum is σ = 386334144. Its totient is φ = 38707200.

The previous prime is 131320967. The next prime is 131320997. The reversal of 131320992 is 299023131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131320997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37392 + ... + 40752.

It is an arithmetic number, because the mean of its divisors is an integer number (4024314).

Almost surely, 2^131320992 is an apocalyptic number.

131320992 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 131320992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193167072).

131320992 is an abundant number, since it is smaller than the sum of its proper divisors (255013152).

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

131320992 is a wasteful number, since it uses less digits than its factorization.

131320992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 131320992 is about 11459.5371634285. The cubic root of 131320992 is about 508.2897885719.

It can be divided in two parts, 131 and 320992, that added together give a palindrome (321123).

The spelling of 131320992 in words is "one hundred thirty-one million, three hundred twenty thousand, nine hundred ninety-two".