13128 has 16 divisors (see below), whose sum is σ = 32880. Its totient is φ = 4368.

The previous prime is 13127. The next prime is 13147. The reversal of 13128 is 82131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (2055).

2¹³¹²⁸ is an apocalyptic number.

It is an amenable number.

13128 is an abundant number, since it is smaller than the sum of its proper divisors (19752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440).

13128 is a wasteful number, since it uses less digits than its factorization.

13128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 13128 is about 114.5774846992. The cubic root of 13128 is about 23.5902669814.

Adding to 13128 its reverse (82131), we get a palindrome (95259).

It can be divided in two parts, 13 and 128, that added together give a palindrome (141).

The spelling of 13128 in words is "thirteen thousand, one hundred twenty-eight".