123000013 has 2 divisors, whose sum is σ = 123000014. Its totient is φ = 123000012.

The previous prime is 123000011. The next prime is 123000019. The reversal of 123000013 is 310000321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84584809 + 38415204 = 9197^2 + 6198^2 .

It is a cyclic number.

It is not a de Polignac number, because 123000013 - 2¹ = 123000011 is a prime.

Together with 123000011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123000011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500006 + 61500007.

It is an arithmetic number, because the mean of its divisors is an integer number (61500007).

Almost surely, 2^123000013 is an apocalyptic number.

It is an amenable number.

123000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123000013 is an equidigital number, since it uses as much as digits as its factorization.

123000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 123000013 is about 11090.5370924947. The cubic root of 123000013 is about 497.3190008476.

Adding to 123000013 its reverse (310000321), we get a palindrome (433000334).

It can be divided in two parts, 12 and 3000013, that added together give a triangular number (3000025 = T₂₄₄₉).

The spelling of 123000013 in words is "one hundred twenty-three million, thirteen", and thus it is an aban number.