11100013320 has 512 divisors, whose sum is σ = 40954636800. Its totient is φ = 2374041600.

The previous prime is 11100013307. The next prime is 11100013343. The reversal of 11100013320 is 2331000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100013296 and 11100013305.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24077890 + ... + 24078350.

It is an arithmetic number, because the mean of its divisors is an integer number (79989525).

Almost surely, 2^11100013320 is an apocalyptic number.

11100013320 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 11100013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20477318400).

11100013320 is an abundant number, since it is smaller than the sum of its proper divisors (29854623480).

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

11100013320 is a wasteful number, since it uses less digits than its factorization.

11100013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11100013320 its reverse (2331000111), we get a palindrome (13431013431).

The spelling of 11100013320 in words is "eleven billion, one hundred million, thirteen thousand, three hundred twenty".