13113321311133 has 56 divisors (see below), whose sum is σ = 19984672955936. Its totient is φ = 8598683887200.

The previous prime is 13113321311117. The next prime is 13113321311179. The reversal of 13113321311133 is 33111312331131.

13113321311133 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 332 + 1 + 311 + 13 + 3 = 666.

It is not a de Polignac number, because 13113321311133 - 2⁴ = 13113321311117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13113321311097 and 13113321311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113321311033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32082138 + ... + 32488308.

Almost surely, 2^{13113321311133} is an apocalyptic number.

It is an amenable number.

13113321311133 is a deficient number, since it is larger than the sum of its proper divisors (6871351644803).

13113321311133 is an frugal number, since it uses more digits than its factorization.

13113321311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406917 (or 406902 counting only the distinct ones).

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

Adding to 13113321311133 its reverse (33111312331131), we get a palindrome (46224633642264).

The spelling of 13113321311133 in words is "thirteen trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred eleven thousand, one hundred thirty-three".