123413013 has 24 divisors (see below), whose sum is σ = 189528768. Its totient is φ = 77116032.

The previous prime is 123412987. The next prime is 123413021. The reversal of 123413013 is 310314321.

It is not a de Polignac number, because 123413013 - 2¹⁷ = 123281941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123413033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38706 + ... + 41772.

It is an arithmetic number, because the mean of its divisors is an integer number (7897032).

Almost surely, 2^123413013 is an apocalyptic number.

It is an amenable number.

123413013 is a deficient number, since it is larger than the sum of its proper divisors (66115755).

123413013 is a wasteful number, since it uses less digits than its factorization.

123413013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123413013 is about 11109.1409658893. The cubic root of 123413013 is about 497.8749988680.

Adding to 123413013 its reverse (310314321), we get a palindrome (433727334).

The spelling of 123413013 in words is "one hundred twenty-three million, four hundred thirteen thousand, thirteen".