42301013 has 2 divisors, whose sum is σ = 42301014. Its totient is φ = 42301012.

The previous prime is 42300959. The next prime is 42301031. The reversal of 42301013 is 31010324.

42301013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (42301031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35129329 + 7171684 = 5927^2 + 2678^2 .

It is a cyclic number.

It is not a de Polignac number, because 42301013 - 2¹⁴ = 42284629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42301073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21150506 + 21150507.

It is an arithmetic number, because the mean of its divisors is an integer number (21150507).

Almost surely, 2^42301013 is an apocalyptic number.

It is an amenable number.

42301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42301013 is an equidigital number, since it uses as much as digits as its factorization.

42301013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 42301013 is about 6503.9228931469. The cubic root of 42301013 is about 348.4311084901.

Adding to 42301013 its reverse (31010324), we get a palindrome (73311337).

The spelling of 42301013 in words is "forty-two million, three hundred one thousand, thirteen".