2002213131113 has 24 divisors (see below), whose sum is σ = 2262752532288. Its totient is φ = 1767518905152.

The previous prime is 2002213131109. The next prime is 2002213131167. The reversal of 2002213131113 is 3111313122002.

It is a happy number.

It is not a de Polignac number, because 2002213131113 - 2² = 2002213131109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002213131173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22761131 + ... + 22848927.

It is an arithmetic number, because the mean of its divisors is an integer number (94281355512).

Almost surely, 2^{2002213131113} is an apocalyptic number.

2002213131113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2002213131113 is a deficient number, since it is larger than the sum of its proper divisors (260539401175).

2002213131113 is a wasteful number, since it uses less digits than its factorization.

2002213131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93713 (or 93700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2002213131113 its reverse (3111313122002), we get a palindrome (5113526253115).

The spelling of 2002213131113 in words is "two trillion, two billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred thirteen".