2002200311013 has 64 divisors (see below), whose sum is σ = 3157595750400. Its totient is φ = 1127912494464.

The previous prime is 2002200311009. The next prime is 2002200311071. The reversal of 2002200311013 is 3101130022002.

It is not a de Polignac number, because 2002200311013 - 2² = 2002200311009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002200310983 and 2002200311001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200311213) 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 63 ways as a sum of consecutive naturals, for example, 23592745 + ... + 23677457.

It is an arithmetic number, because the mean of its divisors is an integer number (49337433600).

Almost surely, 2^{2002200311013} is an apocalyptic number.

It is an amenable number.

2002200311013 is a deficient number, since it is larger than the sum of its proper divisors (1155395439387).

2002200311013 is a wasteful number, since it uses less digits than its factorization.

2002200311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85063 (or 85049 counting only the distinct ones).

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

Adding to 2002200311013 its reverse (3101130022002), we get a palindrome (5103330333015).

The spelling of 2002200311013 in words is "two trillion, two billion, two hundred million, three hundred eleven thousand, thirteen".