123312310133 has 8 divisors (see below), whose sum is σ = 125644170168. Its totient is φ = 120980643264.

The previous prime is 123312310097. The next prime is 123312310157. The reversal of 123312310133 is 331013213321.

It can be written as a sum of positive squares in 4 ways, for example, as 67782289 + 123244527844 = 8233^2 + 351062^2 .

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 123312310133 - 2⁸ = 123312309877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123312310099 and 123312310108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312310633) 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 7 ways as a sum of consecutive naturals, for example, 2443391 + ... + 2493347.

It is an arithmetic number, because the mean of its divisors is an integer number (15705521271).

Almost surely, 2^123312310133 is an apocalyptic number.

It is an amenable number.

123312310133 is a deficient number, since it is larger than the sum of its proper divisors (2331860035).

123312310133 is an equidigital number, since it uses as much as digits as its factorization.

123312310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96583.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123312310133 its reverse (331013213321), we get a palindrome (454325523454).

The spelling of 123312310133 in words is "one hundred twenty-three billion, three hundred twelve million, three hundred ten thousand, one hundred thirty-three".