12103322000133 has 64 divisors (see below), whose sum is σ = 20348961421824. Its totient is φ = 6227642880000.

The previous prime is 12103322000111. The next prime is 12103322000141. The reversal of 12103322000133 is 33100022330121.

It is not a de Polignac number, because 12103322000133 - 2³⁴ = 12086142130949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103322000333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90607753 + ... + 90741233.

It is an arithmetic number, because the mean of its divisors is an integer number (317952522216).

Almost surely, 2^{12103322000133} is an apocalyptic number.

12103322000133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12103322000133 is a deficient number, since it is larger than the sum of its proper divisors (8245639421691).

12103322000133 is a wasteful number, since it uses less digits than its factorization.

12103322000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141646.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12103322000133 its reverse (33100022330121), we get a palindrome (45203344330254).

The spelling of 12103322000133 in words is "twelve trillion, one hundred three billion, three hundred twenty-two million, one hundred thirty-three", and thus it is an aban number.