131081328 has 100 divisors (see below), whose sum is σ = 433615600. Its totient is φ = 37449216.

The previous prime is 131081317. The next prime is 131081333. The reversal of 131081328 is 823180131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1848 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (4336156).

Almost surely, 2^131081328 is an apocalyptic number.

131081328 is a gapful number since it is divisible by the number (18) 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 131081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216807800).

131081328 is an abundant number, since it is smaller than the sum of its proper divisors (302534272).

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

131081328 is a wasteful number, since it uses less digits than its factorization.

131081328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14476 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 131081328 is about 11449.0754211858. The cubic root of 131081328 is about 507.9803865369.

The spelling of 131081328 in words is "one hundred thirty-one million, eighty-one thousand, three hundred twenty-eight".