131200200 has 72 divisors (see below), whose sum is σ = 440620050. Its totient is φ = 34986240.

The previous prime is 131200193. The next prime is 131200207. The reversal of 131200200 is 2002131.

It is a happy number.

131200200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131200193) and next prime (131200207).

It can be written as a sum of positive squares in 3 ways, for example, as 120428676 + 10771524 = 10974^2 + 3282^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131200207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34645 + ... + 38244.

Almost surely, 2^131200200 is an apocalyptic number.

131200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200200 is an abundant number, since it is smaller than the sum of its proper divisors (309419850).

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

131200200 is a wasteful number, since it uses less digits than its factorization.

131200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72911 (or 72899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131200200 is about 11454.2655809965. The cubic root of 131200200 is about 508.1338953068.

Adding to 131200200 its reverse (2002131), we get a palindrome (133202331).

The spelling of 131200200 in words is "one hundred thirty-one million, two hundred thousand, two hundred".