12133122311333 has 32 divisors (see below), whose sum is σ = 13496838451200. Its totient is φ = 10859129555904.

The previous prime is 12133122311293. The next prime is 12133122311341. The reversal of 12133122311333 is 33311322133121.

It is a cyclic number.

It is not a de Polignac number, because 12133122311333 - 2¹² = 12133122307237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133122311296 and 12133122311305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133122311383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99564866 + ... + 99686652.

It is an arithmetic number, because the mean of its divisors is an integer number (421776201600).

Almost surely, 2^{12133122311333} is an apocalyptic number.

It is an amenable number.

12133122311333 is a deficient number, since it is larger than the sum of its proper divisors (1363716139867).

12133122311333 is a wasteful number, since it uses less digits than its factorization.

12133122311333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125729.

The product of its digits is 5832, while the sum is 29.

Adding to 12133122311333 its reverse (33311322133121), we get a palindrome (45444444444454).

The spelling of 12133122311333 in words is "twelve trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred eleven thousand, three hundred thirty-three".