131010320 has 120 divisors (see below), whose sum is σ = 373190400. Its totient is φ = 42529536.

The previous prime is 131010317. The next prime is 131010337. The reversal of 131010320 is 23010131.

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, 73601 + ... + 75359.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2^131010320 is an apocalyptic number.

131010320 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 131010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186595200).

131010320 is an abundant number, since it is smaller than the sum of its proper divisors (242180080).

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

131010320 is a wasteful number, since it uses less digits than its factorization.

131010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131010320 is about 11445.9739646742. The cubic root of 131010320 is about 507.8886440360. Note that the first 3 decimals are identical.

Adding to 131010320 its reverse (23010131), we get a palindrome (154020451).

The spelling of 131010320 in words is "one hundred thirty-one million, ten thousand, three hundred twenty".