42013 has 2 divisors, whose sum is σ = 42014. Its totient is φ = 42012.

The previous prime is 41999. The next prime is 42017. The reversal of 42013 is 31024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 2809 = 198^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 42013 - 2⁵ = 41981 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42017) 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, 21006 + 21007.

It is an arithmetic number, because the mean of its divisors is an integer number (21007).

2⁴²⁰¹³ is an apocalyptic number.

It is an amenable number.

42013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42013 is an equidigital number, since it uses as much as digits as its factorization.

42013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 42013 is about 204.9707296177. The cubic root of 42013 is about 34.7638524556.

Adding to 42013 its reverse (31024), we get a palindrome (73037).

It can be divided in two parts, 420 and 13, that multiplied together give a triangular number (5460 = T₁₀₄).

The spelling of 42013 in words is "forty-two thousand, thirteen".