11133400300 has 144 divisors (see below), whose sum is σ = 28381933440. Its totient is φ = 3745408000.

The previous prime is 11133400277. The next prime is 11133400301. The reversal of 11133400300 is 300433111.

It is not an unprimeable number, because it can be changed into a prime (11133400301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098255 + ... + 1108345.

It is an arithmetic number, because the mean of its divisors is an integer number (197096760).

Almost surely, 2^11133400300 is an apocalyptic number.

11133400300 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 11133400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190966720).

11133400300 is an abundant number, since it is smaller than the sum of its proper divisors (17248533140).

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

11133400300 is a wasteful number, since it uses less digits than its factorization.

11133400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11133400300 its reverse (300433111), we get a palindrome (11433833411).

The spelling of 11133400300 in words is "eleven billion, one hundred thirty-three million, four hundred thousand, three hundred".