128013 has 8 divisors (see below), whose sum is σ = 173376. Its totient is φ = 84000.

The previous prime is 127997. The next prime is 128021. The reversal of 128013 is 310821.

It is a happy number.

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

It is not a de Polignac number, because 128013 - 2⁴ = 127997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127983 and 128001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2¹²⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

128013 is a deficient number, since it is larger than the sum of its proper divisors (45363).

128013 is an equidigital number, since it uses as much as digits as its factorization.

128013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

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

The square root of 128013 is about 357.7890439910. The cubic root of 128013 is about 50.3985480811.

Adding to 128013 its reverse (310821), we get a palindrome (438834).

The spelling of 128013 in words is "one hundred twenty-eight thousand, thirteen".