123013013 has 2 divisors, whose sum is σ = 123013014. Its totient is φ = 123013012.

The previous prime is 123013001. The next prime is 123013031. The reversal of 123013013 is 310310321.

Together with next prime (123013031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106956964 + 16056049 = 10342^2 + 4007^2 .

It is an emirp because it is prime and its reverse (310310321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123013013 - 2¹⁸ = 122750869 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123013063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506506 + 61506507.

It is an arithmetic number, because the mean of its divisors is an integer number (61506507).

Almost surely, 2^123013013 is an apocalyptic number.

It is an amenable number.

123013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013013 is an equidigital number, since it uses as much as digits as its factorization.

123013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 123013013 is about 11091.1231622411. The cubic root of 123013013 is about 497.3365209521.

Adding to 123013013 its reverse (310310321), we get a palindrome (433323334).

The spelling of 123013013 in words is "one hundred twenty-three million, thirteen thousand, thirteen".