13711 has 2 divisors, whose sum is σ = 13712. Its totient is φ = 13710.

The previous prime is 13709. The next prime is 13721. The reversal of 13711 is 11731.

13711 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (11731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13711 - 2¹ = 13709 is a prime.

Together with 13709, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13691 and 13700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6855 + 6856.

It is an arithmetic number, because the mean of its divisors is an integer number (6856).

2¹³⁷¹¹ is an apocalyptic number.

13711 is a deficient number, since it is larger than the sum of its proper divisors (1).

13711 is an equidigital number, since it uses as much as digits as its factorization.

13711 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 13711 is about 117.0939793499. The cubic root of 13711 is about 23.9344274882.

The spelling of 13711 in words is "thirteen thousand, seven hundred eleven".