11002133200000 has 192 divisors, whose sum is σ = 27505535783040. Its totient is φ = 4383280000000.

The previous prime is 11002133199979. The next prime is 11002133200007. The reversal of 11002133200000 is 233120011.

It is not an unprimeable number, because it can be changed into a prime (11002133200007) 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 23 ways as a sum of consecutive naturals, for example, 100345209 + ... + 100454791.

It is an arithmetic number, because the mean of its divisors is an integer number (143257998870).

Almost surely, 2^{11002133200000} is an apocalyptic number.

11002133200000 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 11002133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752767891520).

11002133200000 is an abundant number, since it is smaller than the sum of its proper divisors (16503402583040).

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

11002133200000 is an frugal number, since it uses more digits than its factorization.

11002133200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109873 (or 109841 counting only the distinct ones).

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

Adding to 11002133200000 its reverse (233120011), we get a palindrome (11002366320011).

The spelling of 11002133200000 in words is "eleven trillion, two billion, one hundred thirty-three million, two hundred thousand".