30013 has 2 divisors, whose sum is σ = 30014. Its totient is φ = 30012.

The previous prime is 30011. The next prime is 30029. The reversal of 30013 is 31003.

30013 = 122² + 123².

It is a happy number.

30013 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15129 + 14884 = 123^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 30013 - 2¹ = 30011 is a prime.

Together with 30011, it forms a pair of twin primes.

30013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 29978 and 30005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15006 + 15007.

It is an arithmetic number, because the mean of its divisors is an integer number (15007).

2³⁰⁰¹³ is an apocalyptic number.

30013 is the 123-rd centered square number.

It is an amenable number.

30013 is a deficient number, since it is larger than the sum of its proper divisors (1).

30013 is an equidigital number, since it uses as much as digits as its factorization.

30013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 30013 is about 173.2426044598. The cubic root of 30013 is about 31.0768126361.

Adding to 30013 its reverse (31003), we get a palindrome (61016).

Subtracting 30013 from its reverse (31003), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 300 and 13, that added together give a palindrome (313).

The spelling of 30013 in words is "thirty thousand, thirteen".