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13313 is a prime number

13313 has 2 divisors, whose sum is σ = 13314. Its totient is φ = 13312.

The previous prime is 13309. The next prime is 13327. The reversal of 13313 is 31331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10609 + 2704 = 103^2 + 52^2 .

13313 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 13313 - 22 = 13309 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 13294 and 13303.

It is not a weakly prime, because it can be changed into another prime (13513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656 + 6657.

It is an arithmetic number, because the mean of its divisors is an integer number (6657).

It is a Proth number, since it is equal to 13 ⋅ 210 + 1 and 13 < 210.

213313 is an apocalyptic number.

It is an amenable number.

13313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313 is an equidigital number, since it uses as much as digits as its factorization.

13313 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 13313 is about 115.3819743287. The cubic root of 13313 is about 23.7005619811.

Adding to 13313 its reverse (31331), we get a palindrome (44644).

It can be divided in two parts, 1331 and 3, that multiplied together give a palindrome (3993).

The spelling of 13313 in words is "thirteen thousand, three hundred thirteen".