131080320 has 192 divisors, whose sum is σ = 517458240. Its totient is φ = 29952000.

The previous prime is 131080283. The next prime is 131080343. The reversal of 131080320 is 23080131.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 131080293 and 131080302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38695 + ... + 41945.

It is an arithmetic number, because the mean of its divisors is an integer number (2695095).

Almost surely, 2^131080320 is an apocalyptic number.

131080320 is a gapful number since it is divisible by the number (10) 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 131080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258729120).

131080320 is an abundant number, since it is smaller than the sum of its proper divisors (386377920).

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

131080320 is a wasteful number, since it uses less digits than its factorization.

131080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3268 counting only the distinct ones).

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

The square root of 131080320 is about 11449.0314000792. The cubic root of 131080320 is about 507.9790844304.

The spelling of 131080320 in words is "one hundred thirty-one million, eighty thousand, three hundred twenty".