1000442013 has 16 divisors (see below), whose sum is σ = 1379328000. Its totient is φ = 644333040.

The previous prime is 1000442011. The next prime is 1000442021. The reversal of 1000442013 is 3102440001.

1000442013 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 1000442013 - 2¹ = 1000442011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000441983 and 1000442001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000442011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46728 + ... + 64686.

It is an arithmetic number, because the mean of its divisors is an integer number (86208000).

Almost surely, 2^1000442013 is an apocalyptic number.

It is an amenable number.

1000442013 is a deficient number, since it is larger than the sum of its proper divisors (378885987).

1000442013 is a wasteful number, since it uses less digits than its factorization.

1000442013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18592.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1000442013 is about 31629.7646687420. The cubic root of 1000442013 is about 1000.1473159636.

Adding to 1000442013 its reverse (3102440001), we get a palindrome (4102882014).

The spelling of 1000442013 in words is "one billion, four hundred forty-two thousand, thirteen".