7013 has 2 divisors, whose sum is σ = 7014.
Its totient is φ = 7012.
The previous prime is 7001. The next prime is 7019. The reversal of 7013 is 3107.
7013 is digitally balanced in base 3, 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., 6724 + 289 = 82^2 + 17^2
It is a cyclic number.
It is not a de Polignac number, because 7013 - 24 = 6997 is a prime.
It is equal to p902 and since 7013 and 902 have the same sum of digits, it is a Honaker prime.
It is a plaindrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 6985 and 7003.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (7019) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3506 + 3507.
It is an arithmetic number, because the mean of its divisors is an integer number (3507).
27013 is an apocalyptic number.
It is an amenable number.
7013 is a deficient number, since it is larger than the sum of its proper divisors (1).
7013 is an equidigital number, since it uses as much as digits as its factorization.
7013 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 21, while the sum is 11.
The square root of 7013 is about 83.7436564762.
The cubic root of 7013 is about 19.1411464595.
The spelling of 7013 in words is "seven thousand, thirteen".