201331023231312 has 240 divisors, whose sum is σ = 610411396795200. Its totient is φ = 61578489047040.

The previous prime is 201331023231293. The next prime is 201331023231323. The reversal of 201331023231312 is 213132320133102.

201331023231312 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 310 + 2 + 3 + 2 + 31 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890886012 + ... + 891111972.

It is an arithmetic number, because the mean of its divisors is an integer number (2543380819980).

Almost surely, 2^{201331023231312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201331023231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305205698397600).

201331023231312 is an abundant number, since it is smaller than the sum of its proper divisors (409080373563888).

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

201331023231312 is a wasteful number, since it uses less digits than its factorization.

201331023231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228826 (or 228817 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201331023231312 its reverse (213132320133102), we get a palindrome (414463343364414).

The spelling of 201331023231312 in words is "two hundred one trillion, three hundred thirty-one billion, twenty-three million, two hundred thirty-one thousand, three hundred twelve".