11130003232320 has 224 divisors, whose sum is σ = 40433378404608. Its totient is φ = 2541017014272.

The previous prime is 11130003232289. The next prime is 11130003232349. The reversal of 11130003232320 is 2323230003111.

11130003232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4761322 + ... + 6702998.

It is an arithmetic number, because the mean of its divisors is an integer number (180506153592).

Almost surely, 2^{11130003232320} is an apocalyptic number.

11130003232320 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 11130003232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216689202304).

11130003232320 is an abundant number, since it is smaller than the sum of its proper divisors (29303375172288).

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

11130003232320 is a wasteful number, since it uses less digits than its factorization.

11130003232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942557 (or 1942547 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11130003232320 its reverse (2323230003111), we get a palindrome (13453233235431).

The spelling of 11130003232320 in words is "eleven trillion, one hundred thirty billion, three million, two hundred thirty-two thousand, three hundred twenty".