13123 has 4 divisors (see below), whose sum is σ = 14328. Its totient is φ = 11920.

The previous prime is 13121. The next prime is 13127. The reversal of 13123 is 32131.

13123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13123 - 2¹ = 13121 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13121) 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 3 ways as a sum of consecutive naturals, for example, 586 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (3582).

2¹³¹²³ is an apocalyptic number.

13123 is a deficient number, since it is larger than the sum of its proper divisors (1205).

13123 is a wasteful number, since it uses less digits than its factorization.

13123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204.

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

The square root of 13123 is about 114.5556633257. Note that the first 3 decimals coincide. The cubic root of 13123 is about 23.5872716962.

Adding to 13123 its reverse (32131), we get a palindrome (45254).

It can be divided in two parts, 13 and 123, that added together give a triangular number (136 = T₁₆).

The spelling of 13123 in words is "thirteen thousand, one hundred twenty-three".