11330322003000 has 3072 divisors, whose sum is σ = 55619246592000. Its totient is φ = 2002102272000.

The previous prime is 11330322002999. The next prime is 11330322003043. The reversal of 11330322003000 is 30022303311.

11330322003000 is a `hidden beast` number, since 1 + 1 + 330 + 32 + 2 + 0 + 0 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6333326106 + ... + 6333327894.

It is an arithmetic number, because the mean of its divisors is an integer number (18105223500).

Almost surely, 2^{11330322003000} is an apocalyptic number.

11330322003000 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 11330322003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27809623296000).

11330322003000 is an abundant number, since it is smaller than the sum of its proper divisors (44288924589000).

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

11330322003000 is a wasteful number, since it uses less digits than its factorization.

11330322003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11330322003000 its reverse (30022303311), we get a palindrome (11360344306311).

The spelling of 11330322003000 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-two million, three thousand".