11001331120 has 80 divisors (see below), whose sum is σ = 27813344832. Its totient is φ = 4022553600.

The previous prime is 11001331079. The next prime is 11001331177. The reversal of 11001331120 is 2113310011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11001331120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55770 + ... + 158470.

Almost surely, 2^11001331120 is an apocalyptic number.

11001331120 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 11001331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906672416).

11001331120 is an abundant number, since it is smaller than the sum of its proper divisors (16812013712).

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

11001331120 is a wasteful number, since it uses less digits than its factorization.

11001331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102830 (or 102824 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11001331120 its reverse (2113310011), we get a palindrome (13114641131).

The spelling of 11001331120 in words is "eleven billion, one million, three hundred thirty-one thousand, one hundred twenty".