11000110113320 has 256 divisors, whose sum is σ = 26233661030400. Its totient is φ = 4145581440000.

The previous prime is 11000110113301. The next prime is 11000110113337. The reversal of 11000110113320 is 2331101100011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11000110113295 and 11000110113304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7644273161 + ... + 7644274599.

It is an arithmetic number, because the mean of its divisors is an integer number (102475238400).

Almost surely, 2^{11000110113320} is an apocalyptic number.

11000110113320 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 11000110113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116830515200).

11000110113320 is an abundant number, since it is smaller than the sum of its proper divisors (15233550917080).

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

11000110113320 is a wasteful number, since it uses less digits than its factorization.

11000110113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11000110113320 its reverse (2331101100011), we get a palindrome (13331211213331).

The spelling of 11000110113320 in words is "eleven trillion, one hundred ten million, one hundred thirteen thousand, three hundred twenty".