2000200020113 has 16 divisors (see below), whose sum is σ = 2061164102400. Its totient is φ = 1940159792064.

The previous prime is 2000200020107. The next prime is 2000200020199. The reversal of 2000200020113 is 3110200020002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2000200020113 - 2¹⁰ = 2000200019089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000200020094 and 2000200020103.

It is not an unprimeable number, because it can be changed into a prime (2000200020713) 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 15 ways as a sum of consecutive naturals, for example, 2964095 + ... + 3575787.

It is an arithmetic number, because the mean of its divisors is an integer number (128822756400).

Almost surely, 2^{2000200020113} is an apocalyptic number.

It is an amenable number.

2000200020113 is a deficient number, since it is larger than the sum of its proper divisors (60964082287).

2000200020113 is a wasteful number, since it uses less digits than its factorization.

2000200020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612448.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2000200020113 its reverse (3110200020002), we get a palindrome (5110400040115).

The spelling of 2000200020113 in words is "two trillion, two hundred million, twenty thousand, one hundred thirteen".