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13331 is a prime number
BaseRepresentation
bin11010000010011
3200021202
43100103
5411311
6141415
753603
oct32023
920252
1013331
11a01a
12786b
1360b6
144c03
153e3b
hex3413

13331 has 2 divisors, whose sum is σ = 13332. Its totient is φ = 13330.

The previous prime is 13327. The next prime is 13337.

13331 is nontrivially palindromic in base 8 and base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13331 - 22 = 13327 is a prime.

It is a super-2 number, since 2×133312 = 355431122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665 + 6666.

It is an arithmetic number, because the mean of its divisors is an integer number (6666).

213331 is an apocalyptic number.

13331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331 is an equidigital number, since it uses as much as digits as its factorization.

13331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27, while the sum is 11.

The square root of 13331 is about 115.4599497661. The cubic root of 13331 is about 23.7112387130.

Multiplying 13331 by its sum of digits (11), we get a palindrome (146641).

The spelling of 13331 in words is "thirteen thousand, three hundred thirty-one".