201113331100000 has 576 divisors, whose sum is σ = 548936037720000. Its totient is φ = 71916160000000.

The previous prime is 201113331099991. The next prime is 201113331100013. The reversal of 201113331100000 is 1133311102.

It is a super-2 number, since 2×201113331100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16553893926 + ... + 16553906074.

It is an arithmetic number, because the mean of its divisors is an integer number (953013954375).

Almost surely, 2^{201113331100000} is an apocalyptic number.

201113331100000 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 201113331100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274468018860000).

201113331100000 is an abundant number, since it is smaller than the sum of its proper divisors (347822706620000).

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

201113331100000 is a wasteful number, since it uses less digits than its factorization.

201113331100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 201113331100000 its reverse (1133311102), we get a palindrome (201114464411102).

It can be divided in two parts, 2011133 and 31100000, that added together give a palindrome (33111133).

The spelling of 201113331100000 in words is "two hundred one trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred thousand".