12310121333133 has 24 divisors (see below), whose sum is σ = 19175202016152. Its totient is φ = 7565124359808.

The previous prime is 12310121333129. The next prime is 12310121333141. The reversal of 12310121333133 is 33133312101321.

12310121333133 is a `hidden beast` number, since 1 + 2 + 310 + 1 + 2 + 1 + 33 + 313 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1110035030724 + 11200086302409 = 1053582^2 + 3346653^2 .

It is not a de Polignac number, because 12310121333133 - 2² = 12310121333129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12310121333097 and 12310121333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310121353133) 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 23 ways as a sum of consecutive naturals, for example, 71684166 + ... + 71855687.

It is an arithmetic number, because the mean of its divisors is an integer number (798966750673).

Almost surely, 2^{12310121333133} is an apocalyptic number.

12310121333133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12310121333133 is a deficient number, since it is larger than the sum of its proper divisors (6865080683019).

12310121333133 is a wasteful number, since it uses less digits than its factorization.

12310121333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143540605 (or 143540602 counting only the distinct ones).

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

Adding to 12310121333133 its reverse (33133312101321), we get a palindrome (45443433434454).

The spelling of 12310121333133 in words is "twelve trillion, three hundred ten billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-three".