11001113120 has 48 divisors (see below), whose sum is σ = 26594568000. Its totient is φ = 4298106624.

The previous prime is 11001113119. The next prime is 11001113131. The reversal of 11001113120 is 2131110011.

It is a happy number.

11001113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11001113120² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 792620 + ... + 806379.

It is an arithmetic number, because the mean of its divisors is an integer number (554053500).

Almost surely, 2^11001113120 is an apocalyptic number.

11001113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001113120 is an abundant number, since it is smaller than the sum of its proper divisors (15593454880).

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

11001113120 is a wasteful number, since it uses less digits than its factorization.

11001113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599057 (or 1599049 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11001113120 its reverse (2131110011), we get a palindrome (13132223131).

The spelling of 11001113120 in words is "eleven billion, one million, one hundred thirteen thousand, one hundred twenty".