13353 has 4 divisors (see below), whose sum is σ = 17808. Its totient is φ = 8900.

The previous prime is 13339. The next prime is 13367. The reversal of 13353 is 35331.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35331 = 3 ⋅11777.

It is an interprime number because it is at equal distance from previous prime (13339) and next prime (13367).

It is a cyclic number.

It is not a de Polignac number, because 13353 - 2⁴ = 13337 is a prime.

It is a D-number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2223 + ... + 2228.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

2¹³³⁵³ is an apocalyptic number.

It is an amenable number.

13353 is a deficient number, since it is larger than the sum of its proper divisors (4455).

13353 is an equidigital number, since it uses as much as digits as its factorization.

13353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454.

The product of its digits is 135, while the sum is 15.

The square root of 13353 is about 115.5551816233. Note that the first 3 decimals coincide. The cubic root of 13353 is about 23.7242750083.

Adding to 13353 its reverse (35331), we get a palindrome (48684).

It can be divided in two parts, 1335 and 3, that multiplied together give a triangular number (4005 = T₈₉).

The spelling of 13353 in words is "thirteen thousand, three hundred fifty-three".