11331200211100 has 432 divisors, whose sum is σ = 31945219187616. Its totient is φ = 3448811520000.

The previous prime is 11331200211083. The next prime is 11331200211187. The reversal of 11331200211100 is 111200213311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397390444 + ... + 397418956.

It is an arithmetic number, because the mean of its divisors is an integer number (73947266638).

Almost surely, 2^{11331200211100} is an apocalyptic number.

11331200211100 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 11331200211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15972609593808).

11331200211100 is an abundant number, since it is smaller than the sum of its proper divisors (20614018976516).

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

11331200211100 is a wasteful number, since it uses less digits than its factorization.

11331200211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28726 (or 28712 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11331200211100 its reverse (111200213311), we get a palindrome (11442400424411).

The spelling of 11331200211100 in words is "eleven trillion, three hundred thirty-one billion, two hundred million, two hundred eleven thousand, one hundred".