12321133131033 has 48 divisors (see below), whose sum is σ = 18876186784000. Its totient is φ = 7722703677024.

The previous prime is 12321133131029. The next prime is 12321133131059. The reversal of 12321133131033 is 33013133112321.

12321133131033 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 11 + 331 + 310 + 3 + 3 = 666.

It is not a de Polignac number, because 12321133131033 - 2² = 12321133131029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12321133130988 and 12321133131006.

It is not an unprimeable number, because it can be changed into a prime (12321133131133) 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, 60247410 + ... + 60451572.

Almost surely, 2^{12321133131033} is an apocalyptic number.

It is an amenable number.

12321133131033 is a deficient number, since it is larger than the sum of its proper divisors (6555053652967).

12321133131033 is a wasteful number, since it uses less digits than its factorization.

12321133131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206866 (or 206863 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12321133131033 its reverse (33013133112321), we get a palindrome (45334266243354).

The spelling of 12321133131033 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-three".