131131321200 has 600 divisors, whose sum is σ = 517292307840. Its totient is φ = 31548787200.

The previous prime is 131131321141. The next prime is 131131321229. The reversal of 131131321200 is 2123131131.

131131321200 is a `hidden beast` number, since 1 + 311 + 31 + 321 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49538277 + ... + 49540923.

Almost surely, 2^131131321200 is an apocalyptic number.

131131321200 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 131131321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258646153920).

131131321200 is an abundant number, since it is smaller than the sum of its proper divisors (386160986640).

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

131131321200 is a wasteful number, since it uses less digits than its factorization.

131131321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131131321200 its reverse (2123131131), we get a palindrome (133254452331).

The spelling of 131131321200 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred".