11103133200 has 240 divisors, whose sum is σ = 36752576256. Its totient is φ = 2863526400.

The previous prime is 11103133193. The next prime is 11103133273. The reversal of 11103133200 is 233130111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11103133200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5520195 + ... + 5522205.

Almost surely, 2^11103133200 is an apocalyptic number.

11103133200 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 11103133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376288128).

11103133200 is an abundant number, since it is smaller than the sum of its proper divisors (25649443056).

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

11103133200 is a wasteful number, since it uses less digits than its factorization.

11103133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11103133200 its reverse (233130111), we get a palindrome (11336263311).

The spelling of 11103133200 in words is "eleven billion, one hundred three million, one hundred thirty-three thousand, two hundred".