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13093 is a prime number
BaseRepresentation
bin11001100100101
3122221221
43030211
5404333
6140341
753113
oct31445
918857
1013093
119923
1276b1
135c62
144ab3
153d2d
hex3325

13093 has 2 divisors, whose sum is σ = 13094. Its totient is φ = 13092.

The previous prime is 13063. The next prime is 13099. The reversal of 13093 is 39031.

It is a happy number.

13093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12769 + 324 = 113^2 + 18^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13099) 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, 6546 + 6547.

It is an arithmetic number, because the mean of its divisors is an integer number (6547).

213093 is an apocalyptic number.

It is an amenable number.

13093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13093 is an equidigital number, since it uses as much as digits as its factorization.

13093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 13093 is about 114.4246476945. The cubic root of 13093 is about 23.5692839887.

It can be divided in two parts, 130 and 93, that multiplied together give a triangular number (12090 = T155).

The spelling of 13093 in words is "thirteen thousand, ninety-three".