11033112128 has 112 divisors (see below), whose sum is σ = 23567745600. Its totient is φ = 5109350400.

The previous prime is 11033112127. The next prime is 11033112143. The reversal of 11033112128 is 82121133011.

11033112128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11033112127) by changing a digit.

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, 10497203 + ... + 10498253.

It is an arithmetic number, because the mean of its divisors is an integer number (210426300).

Almost surely, 2^11033112128 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 11033112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11783872800).

11033112128 is an abundant number, since it is smaller than the sum of its proper divisors (12534633472).

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

11033112128 is a wasteful number, since it uses less digits than its factorization.

11033112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 11033112128 its reverse (82121133011), we get a palindrome (93154245139).

The spelling of 11033112128 in words is "eleven billion, thirty-three million, one hundred twelve thousand, one hundred twenty-eight".