11331102112000 has 216 divisors, whose sum is σ = 31026593268216. Its totient is φ = 4120399360000.

The previous prime is 11331102111983. The next prime is 11331102112061. The reversal of 11331102112000 is 21120113311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 138169810944 + 11192932301056 = 371712^2 + 3345584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2408790 + ... + 5335210.

It is an arithmetic number, because the mean of its divisors is an integer number (143641635501).

Almost surely, 2^{11331102112000} is an apocalyptic number.

11331102112000 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 11331102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513296634108).

11331102112000 is an abundant number, since it is smaller than the sum of its proper divisors (19695491156216).

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

11331102112000 is an equidigital number, since it uses as much as digits as its factorization.

11331102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926474 (or 2926439 counting only the distinct ones).

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

Adding to 11331102112000 its reverse (21120113311), we get a palindrome (11352222225311).

The spelling of 11331102112000 in words is "eleven trillion, three hundred thirty-one billion, one hundred two million, one hundred twelve thousand".