13171 has 2 divisors, whose sum is σ = 13172. Its totient is φ = 13170.

The previous prime is 13163. The next prime is 13177. The reversal of 13171 is 17131.

13171 is nontrivially palindromic in base 4.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13171 - 2³ = 13163 is a prime.

It is a Chen prime.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (13177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6585 + 6586.

It is an arithmetic number, because the mean of its divisors is an integer number (6586).

2¹³¹⁷¹ is an apocalyptic number.

13171 is a deficient number, since it is larger than the sum of its proper divisors (1).

13171 is an equidigital number, since it uses as much as digits as its factorization.

13171 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21, while the sum is 13.

The square root of 13171 is about 114.7649772361. The cubic root of 13171 is about 23.6159950937.

It can be divided in two parts, 131 and 71, that added together give a palindrome (202).

The spelling of 13171 in words is "thirteen thousand, one hundred seventy-one".