131021002312200 has 2304 divisors, whose sum is σ = 613038228042240. Its totient is φ = 24198414336000.

The previous prime is 131021002312141. The next prime is 131021002312201. The reversal of 131021002312200 is 2213200120131.

131021002312200 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 210 + 0 + 231 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131021002312201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6466650070 + ... + 6466670330.

It is an arithmetic number, because the mean of its divisors is an integer number (266075619810).

Almost surely, 2^{131021002312200} is an apocalyptic number.

131021002312200 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 131021002312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306519114021120).

131021002312200 is an abundant number, since it is smaller than the sum of its proper divisors (482017225730040).

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

131021002312200 is a wasteful number, since it uses less digits than its factorization.

131021002312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448 (or 20436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131021002312200 its reverse (2213200120131), we get a palindrome (133234202432331).

The spelling of 131021002312200 in words is "one hundred thirty-one trillion, twenty-one billion, two million, three hundred twelve thousand, two hundred".