12111331331133 has 16 divisors (see below), whose sum is σ = 17956964692800. Its totient is φ = 8067807663120.

The previous prime is 12111331331119. The next prime is 12111331331171. The reversal of 12111331331133 is 33113313311121.

12111331331133 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 3 + 313 + 311 + 33 = 666.

It is not a de Polignac number, because 12111331331133 - 2¹⁸ = 12111331068989 is a prime.

It is a super-2 number, since 2×12111331331133² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12111331331097 and 12111331331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111331331173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178110498 + ... + 178178483.

It is an arithmetic number, because the mean of its divisors is an integer number (1122310293300).

Almost surely, 2^{12111331331133} is an apocalyptic number.

It is an amenable number.

12111331331133 is a deficient number, since it is larger than the sum of its proper divisors (5845633361667).

12111331331133 is a wasteful number, since it uses less digits than its factorization.

12111331331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356290249 (or 356290243 counting only the distinct ones).

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

Adding to 12111331331133 its reverse (33113313311121), we get a palindrome (45224644642254).

The spelling of 12111331331133 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-three".