11002132110330 has 96 divisors (see below), whose sum is σ = 29564275373568. Its totient is φ = 2835801014400.

The previous prime is 11002132110301. The next prime is 11002132110331. The reversal of 11002132110330 is 3301123120011.

11002132110330 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 1 + 321 + 10 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11002132110331) 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, 111004 + ... + 4692183.

It is an arithmetic number, because the mean of its divisors is an integer number (307961201808).

Almost surely, 2^{11002132110330} is an apocalyptic number.

11002132110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002132110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782137686784).

11002132110330 is an abundant number, since it is smaller than the sum of its proper divisors (18562143263238).

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

11002132110330 is a wasteful number, since it uses less digits than its factorization.

11002132110330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804052 (or 4804049 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11002132110330 its reverse (3301123120011), we get a palindrome (14303255230341).

The spelling of 11002132110330 in words is "eleven trillion, two billion, one hundred thirty-two million, one hundred ten thousand, three hundred thirty".