4002001013 has 8 divisors (see below), whose sum is σ = 4127321088. Its totient is φ = 3878146944.

The previous prime is 4002001001. The next prime is 4002001019. The reversal of 4002001013 is 3101002004.

It is a happy number.

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 4002001013 - 2⁶ = 4002000949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4002000985 and 4002001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002001019) 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 in 7 ways as a sum of consecutive naturals, for example, 360956 + ... + 371877.

It is an arithmetic number, because the mean of its divisors is an integer number (515915136).

Almost surely, 2^4002001013 is an apocalyptic number.

4002001013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4002001013 is a deficient number, since it is larger than the sum of its proper divisors (125320075).

4002001013 is a wasteful number, since it uses less digits than its factorization.

4002001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733003.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4002001013 is about 63261.3706222051. The cubic root of 4002001013 is about 1587.6657086864.

Adding to 4002001013 its reverse (3101002004), we get a palindrome (7103003017).

Subtracting from 4002001013 its reverse (3101002004), we obtain a palindrome (900999009).

The spelling of 4002001013 in words is "four billion, two million, one thousand, thirteen".