11330100000 has 216 divisors, whose sum is σ = 40275586260. Its totient is φ = 3021120000.

The previous prime is 11330099981. The next prime is 11330100037. The reversal of 11330100000 is 103311.

It can be written as a sum of positive squares in 6 ways, for example, as 3633196176 + 7696903824 = 60276^2 + 87732^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 893706 + ... + 906294.

Almost surely, 2^11330100000 is an apocalyptic number.

11330100000 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 11330100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137793130).

11330100000 is an abundant number, since it is smaller than the sum of its proper divisors (28945486260).

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

11330100000 is an equidigital number, since it uses as much as digits as its factorization.

11330100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 11330100000 its reverse (103311), we get a palindrome (11330203311).

The spelling of 11330100000 in words is "eleven billion, three hundred thirty million, one hundred thousand".