131131200 has 168 divisors, whose sum is σ = 455810112. Its totient is φ = 32890880.

The previous prime is 131131199. The next prime is 131131279. The reversal of 131131200 is 2131131.

It is a super-2 number, since 2×131131200² = 34390783226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 80797 + ... + 82403.

Almost surely, 2^131131200 is an apocalyptic number.

131131200 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 131131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227905056).

131131200 is an abundant number, since it is smaller than the sum of its proper divisors (324678912).

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

131131200 is a wasteful number, since it uses less digits than its factorization.

131131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131131200 is about 11451.2532065272. The cubic root of 131131200 is about 508.0448014717.

Adding to 131131200 its reverse (2131131), we get a palindrome (133262331).

The spelling of 131131200 in words is "one hundred thirty-one million, one hundred thirty-one thousand, two hundred".