13321 has 8 divisors (see below), whose sum is σ = 16704. Its totient is φ = 10320.

The previous prime is 13313. The next prime is 13327. The reversal of 13321 is 12331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13321 - 2³ = 13313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13298 and 13307.

It is not an unprimeable number, because it can be changed into a prime (13327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (2088).

2¹³³²¹ is an apocalyptic number.

13321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13321 is a deficient number, since it is larger than the sum of its proper divisors (3383).

13321 is a wasteful number, since it uses less digits than its factorization.

13321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 18, while the sum is 10.

The square root of 13321 is about 115.4166365824. The cubic root of 13321 is about 23.7053083826.

Adding to 13321 its sum of digits (10), we get a palindrome (13331).

Multiplying 13321 by its product of digits (18), we get a triangular number (239778 = T₆₉₂).

Adding to 13321 its reverse (12331), we get a palindrome (25652).

Subtracting from 13321 its reverse (12331), we obtain a triangular number (990 = T₄₄).

The spelling of 13321 in words is "thirteen thousand, three hundred twenty-one".