2002200013 has 16 divisors (see below), whose sum is σ = 2237216256. Its totient is φ = 1776101040.

The previous prime is 2002199999. The next prime is 2002200017. The reversal of 2002200013 is 3100022002.

It is a cyclic number.

It is not a de Polignac number, because 2002200013 - 2¹⁷ = 2002068941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825120 + ... + 827542.

It is an arithmetic number, because the mean of its divisors is an integer number (139826016).

Almost surely, 2^2002200013 is an apocalyptic number.

It is an amenable number.

2002200013 is a deficient number, since it is larger than the sum of its proper divisors (235016243).

2002200013 is a wasteful number, since it uses less digits than its factorization.

2002200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2002200013 is about 44745.9496826249. The cubic root of 2002200013 is about 1260.3828543884.

Adding to 2002200013 its reverse (3100022002), we get a palindrome (5102222015).

The spelling of 2002200013 in words is "two billion, two million, two hundred thousand, thirteen".