131221010331200 has 168 divisors, whose sum is σ = 340108983402720. Its totient is φ = 49692308889600.

The previous prime is 131221010331167. The next prime is 131221010331263. The reversal of 131221010331200 is 2133010122131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43627880 + ... + 46538520.

It is an arithmetic number, because the mean of its divisors is an integer number (2024458234540).

Almost surely, 2^{131221010331200} is an apocalyptic number.

131221010331200 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 131221010331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170054491701360).

131221010331200 is an abundant number, since it is smaller than the sum of its proper divisors (208887973071520).

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

131221010331200 is a wasteful number, since it uses less digits than its factorization.

131221010331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912165 (or 2912150 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131221010331200 its reverse (2133010122131), we get a palindrome (133354020453331).

The spelling of 131221010331200 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, ten million, three hundred thirty-one thousand, two hundred".