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13381 is a prime number
BaseRepresentation
bin11010001000101
3200100121
43101011
5412011
6141541
754004
oct32105
920317
1013381
11a065
1278b1
136124
144c3b
153e71
hex3445

13381 has 2 divisors, whose sum is σ = 13382. Its totient is φ = 13380.

The previous prime is 13367. The next prime is 13397. The reversal of 13381 is 18331.

It is an a-pointer prime, because the next prime (13397) can be obtained adding 13381 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 4356 = 95^2 + 66^2 .

It is a cyclic number.

It is not a de Polignac number, because 13381 - 213 = 5189 is a prime.

It is a super-2 number, since 2×133812 = 358102322, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6690 + 6691.

It is an arithmetic number, because the mean of its divisors is an integer number (6691).

213381 is an apocalyptic number.

It is an amenable number.

13381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13381 is an equidigital number, since it uses as much as digits as its factorization.

13381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 16.

The square root of 13381 is about 115.6762724157. The cubic root of 13381 is about 23.7408459643.

Subtracting 13381 from its reverse (18331), we obtain a triangular number (4950 = T99).

The spelling of 13381 in words is "thirteen thousand, three hundred eighty-one".