11202133000 has 128 divisors (see below), whose sum is σ = 28280884320. Its totient is φ = 4137369600.

The previous prime is 11202132923. The next prime is 11202133009. The reversal of 11202133000 is 33120211.

11202133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 278956804 + 10923176196 = 16702^2 + 104514^2 .

It is not an unprimeable number, because it can be changed into a prime (11202133009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894784 + ... + 907216.

Almost surely, 2^11202133000 is an apocalyptic number.

11202133000 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 11202133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140442160).

11202133000 is an abundant number, since it is smaller than the sum of its proper divisors (17078751320).

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

11202133000 is a wasteful number, since it uses less digits than its factorization.

11202133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11202133000 its reverse (33120211), we get a palindrome (11235253211).

The spelling of 11202133000 in words is "eleven billion, two hundred two million, one hundred thirty-three thousand".