13351 has 6 divisors (see below), whose sum is σ = 14640. Its totient is φ = 12168.

The previous prime is 13339. The next prime is 13367. The reversal of 13351 is 15331.

13351 is nontrivially palindromic in base 12.

13351 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

13351 is a modest number, since divided by 351 gives 13 as remainder.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130 + ... + 208.

It is an arithmetic number, because the mean of its divisors is an integer number (2440).

2¹³³⁵¹ is an apocalyptic number.

13351 is a deficient number, since it is larger than the sum of its proper divisors (1289).

13351 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (13350) it forms an eRAP, since the sums of their prime factors are consecutive (104 and 105).

13351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 45, while the sum is 13.

The square root of 13351 is about 115.5465274251. The cubic root of 13351 is about 23.7230904825.

Adding to 13351 its reverse (15331), we get a palindrome (28682).

The spelling of 13351 in words is "thirteen thousand, three hundred fifty-one".