42004304013 has 32 divisors (see below), whose sum is σ = 64188352512. Its totient is φ = 23934398400.

The previous prime is 42004304009. The next prime is 42004304077. The reversal of 42004304013 is 31040340024.

42004304013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42004304013 - 2² = 42004304009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004304003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14136618 + ... + 14139588.

It is an arithmetic number, because the mean of its divisors is an integer number (2005886016).

Almost surely, 2^42004304013 is an apocalyptic number.

It is an amenable number.

42004304013 is a deficient number, since it is larger than the sum of its proper divisors (22184048499).

42004304013 is a wasteful number, since it uses less digits than its factorization.

42004304013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42004304013 its reverse (31040340024), we get a palindrome (73044644037).

The spelling of 42004304013 in words is "forty-two billion, four million, three hundred four thousand, thirteen".