11133110033333 has 16 divisors (see below), whose sum is σ = 11675640751920. Its totient is φ = 10601176449024.

The previous prime is 11133110033327. The next prime is 11133110033371. The reversal of 11133110033333 is 33333001133111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10571541124 + 11122538492209 = 102818^2 + 3335047^2 .

It is a cyclic number.

It is not a de Polignac number, because 11133110033333 - 2⁴ = 11133110033317 is a prime.

It is a super-2 number, since 2×11133110033333² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133110033933) 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, 29520485 + ... + 29895237.

It is an arithmetic number, because the mean of its divisors is an integer number (729727546995).

Almost surely, 2^{11133110033333} is an apocalyptic number.

It is an amenable number.

11133110033333 is a deficient number, since it is larger than the sum of its proper divisors (542530718587).

11133110033333 is a wasteful number, since it uses less digits than its factorization.

11133110033333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388888.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 11133110033333 its reverse (33333001133111), we get a palindrome (44466111166444).

The spelling of 11133110033333 in words is "eleven trillion, one hundred thirty-three billion, one hundred ten million, thirty-three thousand, three hundred thirty-three".