4042000013 has 8 divisors (see below), whose sum is σ = 4224634368. Its totient is φ = 3859940304.

The previous prime is 4041999971. The next prime is 4042000037. The reversal of 4042000013 is 3100002404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4042000013 - 2²⁶ = 3974891149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042000063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129245 + ... + 157442.

It is an arithmetic number, because the mean of its divisors is an integer number (528079296).

Almost surely, 2^4042000013 is an apocalyptic number.

It is an amenable number.

4042000013 is a deficient number, since it is larger than the sum of its proper divisors (182634355).

4042000013 is a wasteful number, since it uses less digits than its factorization.

4042000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287323.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4042000013 is about 63576.7254032480. The cubic root of 4042000013 is about 1592.9376243400.

Adding to 4042000013 its reverse (3100002404), we get a palindrome (7142002417).

The spelling of 4042000013 in words is "four billion, forty-two million, thirteen", and thus it is an aban number.