2002200310113 has 16 divisors (see below), whose sum is σ = 2677632974016. Its totient is φ = 1330789798080.

The previous prime is 2002200310079. The next prime is 2002200310139. The reversal of 2002200310113 is 3110130022002.

It is not a de Polignac number, because 2002200310113 - 2¹⁷ = 2002200179041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002200310092 and 2002200310101.

It is not an unprimeable number, because it can be changed into a prime (2002200310163) 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 15 ways as a sum of consecutive naturals, for example, 631995 + ... + 2098527.

It is an arithmetic number, because the mean of its divisors is an integer number (167352060876).

Almost surely, 2^{2002200310113} is an apocalyptic number.

It is an amenable number.

2002200310113 is a deficient number, since it is larger than the sum of its proper divisors (675432663903).

2002200310113 is a wasteful number, since it uses less digits than its factorization.

2002200310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467904.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2002200310113 its reverse (3110130022002), we get a palindrome (5112330332115).

The spelling of 2002200310113 in words is "two trillion, two billion, two hundred million, three hundred ten thousand, one hundred thirteen".