123314333312133 has 56 divisors (see below), whose sum is σ = 187761047041152. Its totient is φ = 80940809837088.

The previous prime is 123314333312069. The next prime is 123314333312147. The reversal of 123314333312133 is 331213333413321.

It is a happy number.

123314333312133 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 4 + 333 + 312 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 123314333312133 - 2⁶ = 123314333312069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123314333312173) 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 55 ways as a sum of consecutive naturals, for example, 8243560 + ... + 17736542.

Almost surely, 2^{123314333312133} is an apocalyptic number.

It is an amenable number.

123314333312133 is a deficient number, since it is larger than the sum of its proper divisors (64446713729019).

123314333312133 is an equidigital number, since it uses as much as digits as its factorization.

123314333312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493277 (or 9493262 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

Adding to 123314333312133 its reverse (331213333413321), we get a palindrome (454527666725454).

The spelling of 123314333312133 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-three million, three hundred twelve thousand, one hundred thirty-three".