12321133131113 has 8 divisors (see below), whose sum is σ = 12562367786568. Its totient is φ = 12080222936704.

The previous prime is 12321133131059. The next prime is 12321133131127. The reversal of 12321133131113 is 31113133112321.

It can be written as a sum of positive squares in 4 ways, for example, as 5000715667984 + 7320417463129 = 2236228^2 + 2705627^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12321133131113 - 2¹⁴ = 12321133114729 is a prime.

It is a super-2 number, since 2×12321133131113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12321133131133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81038570 + ... + 81190467.

It is an arithmetic number, because the mean of its divisors is an integer number (1570295973321).

Almost surely, 2^{12321133131113} is an apocalyptic number.

It is an amenable number.

12321133131113 is a deficient number, since it is larger than the sum of its proper divisors (241234655455).

12321133131113 is a wasteful number, since it uses less digits than its factorization.

12321133131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162230523.

The product of its digits is 972, while the sum is 26.

Adding to 12321133131113 its reverse (31113133112321), we get a palindrome (43434266243434).

The spelling of 12321133131113 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred thirteen".