2002211132113 has 8 divisors (see below), whose sum is σ = 2003355422432. Its totient is φ = 2001066996096.

The previous prime is 2002211132083. The next prime is 2002211132167. The reversal of 2002211132113 is 3112311122002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002211132113 - 2²⁵ = 2002177577681 is a prime.

It is a super-2 number, since 2×2002211132113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002211133113) 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 7 ways as a sum of consecutive naturals, for example, 34475806 + ... + 34533832.

It is an arithmetic number, because the mean of its divisors is an integer number (250419427804).

Almost surely, 2^{2002211132113} is an apocalyptic number.

It is an amenable number.

2002211132113 is a deficient number, since it is larger than the sum of its proper divisors (1144290319).

2002211132113 is a wasteful number, since it uses less digits than its factorization.

2002211132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77151.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2002211132113 its reverse (3112311122002), we get a palindrome (5114522254115).

The spelling of 2002211132113 in words is "two trillion, two billion, two hundred eleven million, one hundred thirty-two thousand, one hundred thirteen".