131352100 has 72 divisors (see below), whose sum is σ = 318292128. Its totient is φ = 46636800.

The previous prime is 131352097. The next prime is 131352101. The reversal of 131352100 is 1253131.

It is not an unprimeable number, because it can be changed into a prime (131352101) 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, 45912 + ... + 48688.

It is an arithmetic number, because the mean of its divisors is an integer number (4420724).

Almost surely, 2^131352100 is an apocalyptic number.

131352100 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 131352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159146064).

131352100 is an abundant number, since it is smaller than the sum of its proper divisors (186940028).

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

131352100 is a wasteful number, since it uses less digits than its factorization.

131352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131352100 is about 11460.8943804574. The cubic root of 131352100 is about 508.3299208466.

The spelling of 131352100 in words is "one hundred thirty-one million, three hundred fifty-two thousand, one hundred".