420434111134013 has 2 divisors, whose sum is σ = 420434111134014. Its totient is φ = 420434111134012.

The previous prime is 420434111133979. The next prime is 420434111134129. The reversal of 420434111134013 is 310431111434024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418566507374404 + 1867603759609 = 20458898^2 + 1366603^2 .

It is a cyclic number.

It is not a de Polignac number, because 420434111134013 - 2³⁴ = 420416931264829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420434111134613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210217055567006 + 210217055567007.

It is an arithmetic number, because the mean of its divisors is an integer number (210217055567007).

Almost surely, 2^{420434111134013} is an apocalyptic number.

It is an amenable number.

420434111134013 is a deficient number, since it is larger than the sum of its proper divisors (1).

420434111134013 is an equidigital number, since it uses as much as digits as its factorization.

420434111134013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 420434111134013 its reverse (310431111434024), we get a palindrome (730865222568037).

The spelling of 420434111134013 in words is "four hundred twenty trillion, four hundred thirty-four billion, one hundred eleven million, one hundred thirty-four thousand, thirteen".