12133123113331 has 32 divisors (see below), whose sum is σ = 13403731910400. Its totient is φ = 10891524833280.

The previous prime is 12133123113281. The next prime is 12133123113337. The reversal of 12133123113331 is 13331132133121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12133123113331 - 2¹⁷ = 12133122982259 is a prime.

It is a super-2 number, since 2×12133123113331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12133123113331.

It is not an unprimeable number, because it can be changed into a prime (12133123113337) 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 31 ways as a sum of consecutive naturals, for example, 207840115 + ... + 207898483.

It is an arithmetic number, because the mean of its divisors is an integer number (418866622200).

Almost surely, 2^{12133123113331} is an apocalyptic number.

12133123113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12133123113331 is a deficient number, since it is larger than the sum of its proper divisors (1270608797069).

12133123113331 is a wasteful number, since it uses less digits than its factorization.

12133123113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59299.

The product of its digits is 2916, while the sum is 28.

Adding to 12133123113331 its reverse (13331132133121), we get a palindrome (25464255246452).

The spelling of 12133123113331 in words is "twelve trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred thirty-one".