201331200000000 has 1728 divisors, whose sum is σ = 787955573129040. Its totient is φ = 45588480000000.

The previous prime is 201331199999987. The next prime is 201331200000043. The reversal of 201331200000000 is 2133102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1881599999947 + ... + 1881600000053.

Almost surely, 2^{201331200000000} is an apocalyptic number.

201331200000000 is a gapful number since it is divisible by the number (20) 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 201331200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393977786564520).

201331200000000 is an abundant number, since it is smaller than the sum of its proper divisors (586624373129040).

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

201331200000000 is an frugal number, since it uses more digits than its factorization.

201331200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201331200000000 its reverse (2133102), we get a palindrome (201331202133102).

The spelling of 201331200000000 in words is "two hundred one trillion, three hundred thirty-one billion, two hundred million", and thus it is an aban number.