131080032 has 96 divisors (see below), whose sum is σ = 387243360. Its totient is φ = 43670016.

The previous prime is 131080007. The next prime is 131080043. The reversal of 131080032 is 230080131.

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

It is a super-3 number, since 3×131080032³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131079987 and 131080014.

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, 69048 + ... + 70920.

It is an arithmetic number, because the mean of its divisors is an integer number (4033785).

Almost surely, 2^131080032 is an apocalyptic number.

131080032 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 131080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193621680).

131080032 is an abundant number, since it is smaller than the sum of its proper divisors (256163328).

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

131080032 is an frugal number, since it uses more digits than its factorization.

131080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1878 counting only the distinct ones).

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

The square root of 131080032 is about 11449.0188225891. The cubic root of 131080032 is about 507.9787123987.

Subtracting 131080032 from its reverse (230080131), we obtain a palindrome (99000099).

The spelling of 131080032 in words is "one hundred thirty-one million, eighty thousand, thirty-two".