11330330100 has 144 divisors (see below), whose sum is σ = 33384529920. Its totient is φ = 2966371200.

The previous prime is 11330330093. The next prime is 11330330101. The reversal of 11330330100 is 103303311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11330330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330330101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4525449 + ... + 4527951.

Almost surely, 2^11330330100 is an apocalyptic number.

11330330100 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 11330330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692264960).

11330330100 is an abundant number, since it is smaller than the sum of its proper divisors (22054199820).

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

11330330100 is a wasteful number, since it uses less digits than its factorization.

11330330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 11330330100 its reverse (103303311), we get a palindrome (11433633411).

The spelling of 11330330100 in words is "eleven billion, three hundred thirty million, three hundred thirty thousand, one hundred".