131324100 has 72 divisors (see below), whose sum is σ = 390266688. Its totient is φ = 34070400.

The previous prime is 131324059. The next prime is 131324101. The reversal of 131324100 is 1423131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131324100.

It is not an unprimeable number, because it can be changed into a prime (131324101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5185 + ... + 17015.

Almost surely, 2^131324100 is an apocalyptic number.

131324100 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 131324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195133344).

131324100 is an abundant number, since it is smaller than the sum of its proper divisors (258942588).

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

131324100 is a wasteful number, since it uses less digits than its factorization.

131324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131324100 is about 11459.6727701972. The cubic root of 131324100 is about 508.2937984721.

Adding to 131324100 its reverse (1423131), we get a palindrome (132747231).

The spelling of 131324100 in words is "one hundred thirty-one million, three hundred twenty-four thousand, one hundred".