131323520 has 64 divisors (see below), whose sum is σ = 315333000. Its totient is φ = 52297728.

The previous prime is 131323519. The next prime is 131323523. The reversal of 131323520 is 25323131.

It can be written as a sum of positive squares in 4 ways, for example, as 125978176 + 5345344 = 11224^2 + 2312^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131323492 and 131323501.

It is not an unprimeable number, because it can be changed into a prime (131323523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287132 + ... + 287588.

Almost surely, 2^131323520 is an apocalyptic number.

131323520 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 131323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157666500).

131323520 is an abundant number, since it is smaller than the sum of its proper divisors (184009480).

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

131323520 is an equidigital number, since it uses as much as digits as its factorization.

131323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 131323520 is about 11459.6474640366. The cubic root of 131323520 is about 508.2930501686.

Adding to 131323520 its reverse (25323131), we get a palindrome (156646651).

The spelling of 131323520 in words is "one hundred thirty-one million, three hundred twenty-three thousand, five hundred twenty".