13170 has 16 divisors (see below), whose sum is σ = 31680. Its totient is φ = 3504.

The previous prime is 13163. The next prime is 13171. The reversal of 13170 is 7131.

Added to its reverse (7131) it gives a triangular number (20301 = T₂₀₁).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13171) 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, 190 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2¹³¹⁷⁰ is an apocalyptic number.

13170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13170 is an abundant number, since it is smaller than the sum of its proper divisors (18510).

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 (15840).

13170 is a wasteful number, since it uses less digits than its factorization.

13170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13170 is about 114.7606204236. The cubic root of 13170 is about 23.6153974020.

Adding to 13170 its reverse (7131), we get a triangular number (20301 = T₂₀₁).

The spelling of 13170 in words is "thirteen thousand, one hundred seventy".