13401 has 6 divisors (see below), whose sum is σ = 19370. Its totient is φ = 8928.

The previous prime is 13399. The next prime is 13411. The reversal of 13401 is 10431.

13401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 3600 = 99^2 + 60^2 .

It is not a de Polignac number, because 13401 - 2¹ = 13399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1489 = 13401 / (1 + 3 + 4 + 0 + 1).

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13411) 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, 736 + ... + 753.

2¹³⁴⁰¹ is an apocalyptic number.

It is an amenable number.

13401 is a deficient number, since it is larger than the sum of its proper divisors (5969).

13401 is a wasteful number, since it uses less digits than its factorization.

13401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13401 is about 115.7626882894. The cubic root of 13401 is about 23.7526682136.

Adding to 13401 its reverse (10431), we get a palindrome (23832).

It can be divided in two parts, 13 and 401, that added together give a palindrome (414).

The spelling of 13401 in words is "thirteen thousand, four hundred one".