131130900 has 90 divisors (see below), whose sum is σ = 425100830. Its totient is φ = 34966080.

The previous prime is 131130871. The next prime is 131130919. The reversal of 131130900 is 9031131.

It can be written as a sum of positive squares in 3 ways, for example, as 7387524 + 123743376 = 2718^2 + 11124^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6 + ... + 16194.

Almost surely, 2^131130900 is an apocalyptic number.

131130900 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 131130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212550415).

131130900 is an abundant number, since it is smaller than the sum of its proper divisors (293969930).

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

131130900 is a wasteful number, since it uses less digits than its factorization.

131130900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16215 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 131130900 is about 11451.2401075167. The cubic root of 131130900 is about 508.0444140390.

The spelling of 131130900 in words is "one hundred thirty-one million, one hundred thirty thousand, nine hundred".