11133011133 has 24 divisors (see below), whose sum is σ = 16255004376. Its totient is φ = 7341840000.

The previous prime is 11133011129. The next prime is 11133011171. The reversal of 11133011133 is 33111033111.

11133011133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8946700569 + 2186310564 = 94587^2 + 46758^2 .

It is not a de Polignac number, because 11133011133 - 2² = 11133011129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133011233) 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 23 ways as a sum of consecutive naturals, for example, 1119483 + ... + 1129383.

It is an arithmetic number, because the mean of its divisors is an integer number (677291849).

Almost surely, 2^11133011133 is an apocalyptic number.

It is an amenable number.

11133011133 is a deficient number, since it is larger than the sum of its proper divisors (5121993243).

11133011133 is a wasteful number, since it uses less digits than its factorization.

11133011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11133011133 its reverse (33111033111), we get a palindrome (44244044244).

The spelling of 11133011133 in words is "eleven billion, one hundred thirty-three million, eleven thousand, one hundred thirty-three".