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13063 is a prime number
BaseRepresentation
bin11001100000111
3122220211
43030013
5404223
6140251
753041
oct31407
918824
1013063
1198a6
127687
135c3b
144a91
153d0d
hex3307

13063 has 2 divisors, whose sum is σ = 13064. Its totient is φ = 13062.

The previous prime is 13049. The next prime is 13093. The reversal of 13063 is 36031.

13063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13063 - 213 = 4871 is a prime.

13063 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003) 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 as a sum of consecutive naturals, namely, 6531 + 6532.

It is an arithmetic number, because the mean of its divisors is an integer number (6532).

213063 is an apocalyptic number.

13063 is a deficient number, since it is larger than the sum of its proper divisors (1).

13063 is an equidigital number, since it uses as much as digits as its factorization.

13063 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13063 is about 114.2934818789. The cubic root of 13063 is about 23.5512687834.

Adding to 13063 its reverse (36031), we get a palindrome (49094).

The spelling of 13063 in words is "thirteen thousand, sixty-three".