131013040 has 80 divisors (see below), whose sum is σ = 317792160. Its totient is φ = 50186240.

The previous prime is 131013031. The next prime is 131013079. The reversal of 131013040 is 40310131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 131013040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193182 + ... + 193858.

It is an arithmetic number, because the mean of its divisors is an integer number (3972402).

Almost surely, 2^131013040 is an apocalyptic number.

131013040 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 131013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158896080).

131013040 is an abundant number, since it is smaller than the sum of its proper divisors (186779120).

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

131013040 is a wasteful number, since it uses less digits than its factorization.

131013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 131013040 is about 11446.0927831291. The cubic root of 131013040 is about 507.8921588929.

Adding to 131013040 its reverse (40310131), we get a palindrome (171323171).

The spelling of 131013040 in words is "one hundred thirty-one million, thirteen thousand, forty".