11331103112000 has 448 divisors, whose sum is σ = 34106500646400. Its totient is φ = 3642502348800.

The previous prime is 11331103111973. The next prime is 11331103112011. The reversal of 11331103112000 is 21130113311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 11331103112000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103153106 + ... + 103262894.

It is an arithmetic number, because the mean of its divisors is an integer number (76130581800).

Almost surely, 2^{11331103112000} is an apocalyptic number.

11331103112000 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 11331103112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053250323200).

11331103112000 is an abundant number, since it is smaller than the sum of its proper divisors (22775397534400).

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

11331103112000 is a wasteful number, since it uses less digits than its factorization.

11331103112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109939 (or 109919 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 11331103112000 its reverse (21130113311), we get a palindrome (11352233225311).

The spelling of 11331103112000 in words is "eleven trillion, three hundred thirty-one billion, one hundred three million, one hundred twelve thousand".