4002113200113 has 16 divisors (see below), whose sum is σ = 6776064677760. Its totient is φ = 2286921828528.

The previous prime is 4002113200109. The next prime is 4002113200133. The reversal of 4002113200113 is 3110023112004.

4002113200113 is a `hidden beast` number, since 400 + 21 + 132 + 0 + 0 + 113 = 666.

It is not a de Polignac number, because 4002113200113 - 2² = 4002113200109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4002113200133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10587600870 + ... + 10587601247.

It is an arithmetic number, because the mean of its divisors is an integer number (423504042360).

Almost surely, 2^{4002113200113} is an apocalyptic number.

It is an amenable number.

4002113200113 is a deficient number, since it is larger than the sum of its proper divisors (2773951477647).

4002113200113 is a wasteful number, since it uses less digits than its factorization.

4002113200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21175202133 (or 21175202127 counting only the distinct ones).

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

Adding to 4002113200113 its reverse (3110023112004), we get a palindrome (7112136312117).

The spelling of 4002113200113 in words is "four trillion, two billion, one hundred thirteen million, two hundred thousand, one hundred thirteen".