131109200 has 60 divisors (see below), whose sum is σ = 328708128. Its totient is φ = 50160000.

The previous prime is 131109197. The next prime is 131109217. The reversal of 131109200 is 2901131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2075 + ... + 16325.

Almost surely, 2^131109200 is an apocalyptic number.

131109200 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 131109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354064).

131109200 is an abundant number, since it is smaller than the sum of its proper divisors (197598928).

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

131109200 is a wasteful number, since it uses less digits than its factorization.

131109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14292 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 131109200 is about 11450.2925726813. The cubic root of 131109200 is about 508.0163881708.

The spelling of 131109200 in words is "one hundred thirty-one million, one hundred nine thousand, two hundred".