2000333020113 has 6 divisors (see below), whose sum is σ = 2889369917954. Its totient is φ = 1333555346736.

The previous prime is 2000333020109. The next prime is 2000333020117. The reversal of 2000333020113 is 3110203330002.

2000333020113 is a `hidden beast` number, since 200 + 0 + 3 + 330 + 20 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (2000333020109) and next prime (2000333020117).

It can be written as a sum of positive squares in only one way, i.e., 1990968974289 + 9364045824 = 1411017^2 + 96768^2 .

It is not a de Polignac number, because 2000333020113 - 2² = 2000333020109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000333020117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111129612220 + ... + 111129612237.

Almost surely, 2^{2000333020113} is an apocalyptic number.

It is an amenable number.

2000333020113 is a deficient number, since it is larger than the sum of its proper divisors (889036897841).

2000333020113 is a wasteful number, since it uses less digits than its factorization.

2000333020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222259224463 (or 222259224460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2000333020113 its reverse (3110203330002), we get a palindrome (5110536350115).

The spelling of 2000333020113 in words is "two trillion, three hundred thirty-three million, twenty thousand, one hundred thirteen".