11133301132200 has 1536 divisors, whose sum is σ = 42350569390080. Its totient is φ = 2392104960000.

The previous prime is 11133301132193. The next prime is 11133301132201. The reversal of 11133301132200 is 223110333111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11133301132201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10798545685 + ... + 10798546715.

It is an arithmetic number, because the mean of its divisors is an integer number (27571985280).

Almost surely, 2^{11133301132200} is an apocalyptic number.

11133301132200 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 11133301132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175284695040).

11133301132200 is an abundant number, since it is smaller than the sum of its proper divisors (31217268257880).

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

11133301132200 is a wasteful number, since it uses less digits than its factorization.

11133301132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11133301132200 its reverse (223110333111), we get a palindrome (11356411465311).

The spelling of 11133301132200 in words is "eleven trillion, one hundred thirty-three billion, three hundred one million, one hundred thirty-two thousand, two hundred".