42384384013 has 2 divisors, whose sum is σ = 42384384014. Its totient is φ = 42384384012.

The previous prime is 42384383971. The next prime is 42384384101. The reversal of 42384384013 is 31048348324.

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., 27348229129 + 15036154884 = 165373^2 + 122622^2 .

It is a cyclic number.

It is not a de Polignac number, because 42384384013 - 2²⁵ = 42350829581 is a prime.

It is a super-2 number, since 2×42384384013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42384384113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21192192006 + 21192192007.

It is an arithmetic number, because the mean of its divisors is an integer number (21192192007).

Almost surely, 2^42384384013 is an apocalyptic number.

It is an amenable number.

42384384013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42384384013 is an equidigital number, since it uses as much as digits as its factorization.

42384384013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 42384384013 in words is "forty-two billion, three hundred eighty-four million, three hundred eighty-four thousand, thirteen".