123300013 has 2 divisors, whose sum is σ = 123300014. Its totient is φ = 123300012.

The previous prime is 123300011. The next prime is 123300017. The reversal of 123300013 is 310003321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 53042089 = 8382^2 + 7283^2 .

It is a cyclic number.

It is not a de Polignac number, because 123300013 - 2¹ = 123300011 is a prime.

Together with 123300011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 123299966 and 123300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123300011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61650006 + 61650007.

It is an arithmetic number, because the mean of its divisors is an integer number (61650007).

Almost surely, 2^123300013 is an apocalyptic number.

It is an amenable number.

123300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123300013 is an equidigital number, since it uses as much as digits as its factorization.

123300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 123300013 is about 11104.0538993649. The cubic root of 123300013 is about 497.7229969215.

Adding to 123300013 its reverse (310003321), we get a palindrome (433303334).

The spelling of 123300013 in words is "one hundred twenty-three million, three hundred thousand, thirteen".