13124 has 12 divisors (see below), whose sum is σ = 24444. Its totient is φ = 6144.

The previous prime is 13121. The next prime is 13127. The reversal of 13124 is 42131.

13124 = T₉ + T₁₀ + ... + T₄₂.

It is a happy number.

13124 is nontrivially palindromic in base 3 and base 9.

It is an interprime number because it is at equal distance from previous prime (13121) and next prime (13127).

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 6400 = 82^2 + 80^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (2037).

2¹³¹²⁴ is an apocalyptic number.

It is an amenable number.

13124 is a deficient number, since it is larger than the sum of its proper divisors (11320).

13124 is a wasteful number, since it uses less digits than its factorization.

13124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 13124 is about 114.5600279330. The cubic root of 13124 is about 23.5878708141.

Adding to 13124 its reverse (42131), we get a palindrome (55255).

It can be divided in two parts, 1 and 3124, that added together give a 5-th power (3125 = 5⁵).

The spelling of 13124 in words is "thirteen thousand, one hundred twenty-four".