11123133300 has 144 divisors (see below), whose sum is σ = 35947699200. Its totient is φ = 2950502400.

The previous prime is 11123133289. The next prime is 11123133313. The reversal of 11123133300 is 333132111.

It is a happy number.

11123133300 is a `hidden beast` number, since 11 + 12 + 313 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 504916 + ... + 526484.

It is an arithmetic number, because the mean of its divisors is an integer number (249636800).

Almost surely, 2^11123133300 is an apocalyptic number.

11123133300 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 11123133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973849600).

11123133300 is an abundant number, since it is smaller than the sum of its proper divisors (24824565900).

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

11123133300 is a wasteful number, since it uses less digits than its factorization.

11123133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21783 (or 21770 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11123133300 its reverse (333132111), we get a palindrome (11456265411).

The spelling of 11123133300 in words is "eleven billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred".