123013 has 8 divisors (see below), whose sum is σ = 137376. Its totient is φ = 109200.

The previous prime is 123007. The next prime is 123017. The reversal of 123013 is 310321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123013 - 2⁹ = 122501 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (17172).

2¹²³⁰¹³ is an apocalyptic number.

It is an amenable number.

123013 is a deficient number, since it is larger than the sum of its proper divisors (14363).

123013 is a wasteful number, since it uses less digits than its factorization.

123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

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

The square root of 123013 is about 350.7320914886. The cubic root of 123013 is about 49.7336503433.

Adding to 123013 its reverse (310321), we get a palindrome (433334).

It can be divided in two parts, 12 and 3013, that added together give a square (3025 = 55²).

The spelling of 123013 in words is "one hundred twenty-three thousand, thirteen".