12111113313333 has 24 divisors (see below), whose sum is σ = 17573622934296. Its totient is φ = 8037275673600.

The previous prime is 12111113313317. The next prime is 12111113313359. The reversal of 12111113313333 is 33331331111121.

12111113313333 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 1 + 13 + 313 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4310448650244 + 7800664663089 = 2076162^2 + 2792967^2 .

It is not a de Polignac number, because 12111113313333 - 2⁴ = 12111113313317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111113313297 and 12111113313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111113313433) 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 23 ways as a sum of consecutive naturals, for example, 4150791 + ... + 6438267.

It is an arithmetic number, because the mean of its divisors is an integer number (732234288929).

Almost surely, 2^{12111113313333} is an apocalyptic number.

It is an amenable number.

12111113313333 is a deficient number, since it is larger than the sum of its proper divisors (5462509620963).

12111113313333 is a wasteful number, since it uses less digits than its factorization.

12111113313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290165 (or 2290162 counting only the distinct ones).

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

Adding to 12111113313333 its reverse (33331331111121), we get a palindrome (45442444424454).

The spelling of 12111113313333 in words is "twelve trillion, one hundred eleven billion, one hundred thirteen million, three hundred thirteen thousand, three hundred thirty-three".