131200000 has 132 divisors (see below), whose sum is σ = 335814444. Its totient is φ = 51200000.

The previous prime is 131199989. The next prime is 131200007. The reversal of 131200000 is 2131.

131200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 128323584 + 2876416 = 11328^2 + 1696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3199980 + ... + 3200020.

Almost surely, 2^131200000 is an apocalyptic number.

131200000 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 131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167907222).

131200000 is an abundant number, since it is smaller than the sum of its proper divisors (204614444).

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

131200000 is an frugal number, since it uses more digits than its factorization.

131200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 131200000 is about 11454.2568506211. The cubic root of 131200000 is about 508.1336371090.

Adding to 131200000 its reverse (2131), we get a palindrome (131202131).

The spelling of 131200000 in words is "one hundred thirty-one million, two hundred thousand".