10123313312033 has 4 divisors (see below), whose sum is σ = 10123452237360. Its totient is φ = 10123174386708.

The previous prime is 10123313312017. The next prime is 10123313312053. The reversal of 10123313312033 is 33021331332101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10123313312033 - 2⁴ = 10123313312017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10123313311993 and 10123313312011.

It is not an unprimeable number, because it can be changed into a prime (10123313312053) 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 3 ways as a sum of consecutive naturals, for example, 69353303 + ... + 69499116.

It is an arithmetic number, because the mean of its divisors is an integer number (2530863059340).

Almost surely, 2^{10123313312033} is an apocalyptic number.

It is an amenable number.

10123313312033 is a deficient number, since it is larger than the sum of its proper divisors (138925327).

10123313312033 is an equidigital number, since it uses as much as digits as its factorization.

10123313312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138925326.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 10123313312033 its reverse (33021331332101), we get a palindrome (43144644644134).

The spelling of 10123313312033 in words is "ten trillion, one hundred twenty-three billion, three hundred thirteen million, three hundred twelve thousand, thirty-three".