13020 has 48 divisors (see below), whose sum is σ = 43008. Its totient is φ = 2880.

The previous prime is 13009. The next prime is 13033. The reversal of 13020 is 2031.

Added to its reverse (2031) it gives a triangular number (15051 = T₁₇₃).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

13020 is an undulating number in base 5.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (896).

2¹³⁰²⁰ is an apocalyptic number.

13020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504).

13020 is an abundant number, since it is smaller than the sum of its proper divisors (29988).

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

13020 is a wasteful number, since it uses less digits than its factorization.

13020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 48 counting only the distinct ones).

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

The square root of 13020 is about 114.1052146048. The cubic root of 13020 is about 23.5253988254.

Adding to 13020 its reverse (2031), we get a palindrome (15051).

The spelling of 13020 in words is "thirteen thousand, twenty".