13311113123133 has 48 divisors (see below), whose sum is σ = 22286335758336. Its totient is φ = 7498228177440.

The previous prime is 13311113122999. The next prime is 13311113123137. The reversal of 13311113123133 is 33132131111331.

13311113123133 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 1 + 1 + 312 + 313 + 3 = 666.

It is not a de Polignac number, because 13311113123133 - 2¹⁶ = 13311113057597 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13311113123097 and 13311113123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311113123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34352316 + ... + 34737642.

It is an arithmetic number, because the mean of its divisors is an integer number (464298661632).

Almost surely, 2^{13311113123133} is an apocalyptic number.

It is an amenable number.

13311113123133 is a deficient number, since it is larger than the sum of its proper divisors (8975222635203).

13311113123133 is a wasteful number, since it uses less digits than its factorization.

13311113123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393134 (or 393131 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 13311113123133 its reverse (33132131111331), we get a palindrome (46443244234464).

The spelling of 13311113123133 in words is "thirteen trillion, three hundred eleven billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred thirty-three".