9013 has 2 divisors, whose sum is σ = 9014. Its totient is φ = 9012.

The previous prime is 9011. The next prime is 9029. The reversal of 9013 is 3109.

It is a happy number.

9013 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 can be written as a sum of positive squares in only one way, i.e., 7569 + 1444 = 87^2 + 38^2 .

It is an emirp because it is prime and its reverse (3109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9013 - 2¹ = 9011 is a prime.

Together with 9011, it forms a pair of twin primes.

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8984 and 9002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9011) 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, 4506 + 4507.

It is an arithmetic number, because the mean of its divisors is an integer number (4507).

2⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

9013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9013 is an equidigital number, since it uses as much as digits as its factorization.

9013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 9013 is about 94.9368210970. The cubic root of 9013 is about 20.8108486307.

The spelling of 9013 in words is "nine thousand, thirteen".