13002 has 16 divisors (see below), whose sum is σ = 28512. Its totient is φ = 3920.

The previous prime is 13001. The next prime is 13003. The reversal of 13002 is 20031.

13002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13001) and next prime (13003).

It is a Harshad number since it is a multiple of its sum of digits (6).

13002 is an undulating number in base 14.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13001) 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, 33 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1782).

2¹³⁰⁰² is an apocalyptic number.

13002 is an abundant number, since it is smaller than the sum of its proper divisors (15510).

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 (14256).

13002 is a wasteful number, since it uses less digits than its factorization.

13002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 13002 is about 114.0263127528. The cubic root of 13002 is about 23.5145526280.

Adding to 13002 its reverse (20031), we get a palindrome (33033).

It can be divided in two parts, 1 and 3002, that added together give a palindrome (3003).

The spelling of 13002 in words is "thirteen thousand, two".