11304223022133 has 48 divisors (see below), whose sum is σ = 16648483737600. Its totient is φ = 7389498805920.

The previous prime is 11304223022083. The next prime is 11304223022153. The reversal of 11304223022133 is 33122032240311.

11304223022133 is a `hidden beast` number, since 1 + 1 + 304 + 2 + 2 + 302 + 21 + 33 = 666.

11304223022133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11304223022133 - 2⁸ = 11304223021877 is a prime.

It is a super-3 number, since 3×11304223022133³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304223022097 and 11304223022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304223022153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114043488 + ... + 114142566.

It is an arithmetic number, because the mean of its divisors is an integer number (346843411200).

Almost surely, 2^{11304223022133} is an apocalyptic number.

It is an amenable number.

11304223022133 is a deficient number, since it is larger than the sum of its proper divisors (5344260715467).

11304223022133 is a wasteful number, since it uses less digits than its factorization.

11304223022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100022 (or 100019 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11304223022133 its reverse (33122032240311), we get a palindrome (44426255262444).

The spelling of 11304223022133 in words is "eleven trillion, three hundred four billion, two hundred twenty-three million, twenty-two thousand, one hundred thirty-three".