11101130128 has 80 divisors (see below), whose sum is σ = 24143722560. Its totient is φ = 4900262400.

The previous prime is 11101130099. The next prime is 11101130263. The reversal of 11101130128 is 82103110111.

11101130128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 4303143 + ... + 4305721.

It is an arithmetic number, because the mean of its divisors is an integer number (301796532).

Almost surely, 2^11101130128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071861280).

11101130128 is an abundant number, since it is smaller than the sum of its proper divisors (13042592432).

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

11101130128 is a wasteful number, since it uses less digits than its factorization.

11101130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 11101130128 its reverse (82103110111), we get a palindrome (93204240239).

The spelling of 11101130128 in words is "eleven billion, one hundred one million, one hundred thirty thousand, one hundred twenty-eight".