2002202131113 has 12 divisors (see below), whose sum is σ = 2991796288260. Its totient is φ = 1288773785376.

The previous prime is 2002202131037. The next prime is 2002202131123. The reversal of 2002202131113 is 3111312022002.

2002202131113 is a `hidden beast` number, since 200 + 220 + 2 + 131 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1366661535849 + 635540595264 = 1169043^2 + 797208^2 .

It is not a de Polignac number, because 2002202131113 - 2¹⁷ = 2002202000041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002202131123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3835636006 + ... + 3835636527.

It is an arithmetic number, because the mean of its divisors is an integer number (249316357355).

Almost surely, 2^{2002202131113} is an apocalyptic number.

It is an amenable number.

2002202131113 is a deficient number, since it is larger than the sum of its proper divisors (989594157147).

2002202131113 is a wasteful number, since it uses less digits than its factorization.

2002202131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671272568 (or 7671272565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002202131113 its reverse (3111312022002), we get a palindrome (5113514153115).

The spelling of 2002202131113 in words is "two trillion, two billion, two hundred two million, one hundred thirty-one thousand, one hundred thirteen".