201111331312000 has 256 divisors, whose sum is σ = 517646991962880. Its totient is φ = 77654392012800.

The previous prime is 201111331311967. The next prime is 201111331312027. The reversal of 201111331312000 is 213133111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53064252 + ... + 56727748.

It is an arithmetic number, because the mean of its divisors is an integer number (2022058562355).

Almost surely, 2^{201111331312000} is an apocalyptic number.

201111331312000 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 201111331312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258823495981440).

201111331312000 is an abundant number, since it is smaller than the sum of its proper divisors (316535660650880).

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

201111331312000 is an equidigital number, since it uses as much as digits as its factorization.

201111331312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663646 (or 3663624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 201111331312000 its reverse (213133111102), we get a palindrome (201324464423102).

The spelling of 201111331312000 in words is "two hundred one trillion, one hundred eleven billion, three hundred thirty-one million, three hundred twelve thousand".