42305421312013 has 2 divisors, whose sum is σ = 42305421312014. Its totient is φ = 42305421312012.

The previous prime is 42305421311969. The next prime is 42305421312019. The reversal of 42305421312013 is 31021312450324.

42305421312013 is digitally balanced in base 2, 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., 42267135737124 + 38285574889 = 6501318^2 + 195667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42305421312013 is a prime.

It is a super-2 number, since 2×42305421312013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42305421312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21152710656006 + 21152710656007.

It is an arithmetic number, because the mean of its divisors is an integer number (21152710656007).

Almost surely, 2^{42305421312013} is an apocalyptic number.

It is an amenable number.

42305421312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42305421312013 is an equidigital number, since it uses as much as digits as its factorization.

42305421312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 42305421312013 its reverse (31021312450324), we get a palindrome (73326733762337).

The spelling of 42305421312013 in words is "forty-two trillion, three hundred five billion, four hundred twenty-one million, three hundred twelve thousand, thirteen".