2002333113 has 48 divisors (see below), whose sum is σ = 3285539712. Its totient is φ = 1164384000.

The previous prime is 2002333087. The next prime is 2002333127. The reversal of 2002333113 is 3113332002.

It is not a de Polignac number, because 2002333113 - 2⁹ = 2002332601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002333013) 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 47 ways as a sum of consecutive naturals, for example, 243556 + ... + 251642.

It is an arithmetic number, because the mean of its divisors is an integer number (68448744).

Almost surely, 2^2002333113 is an apocalyptic number.

It is an amenable number.

2002333113 is a deficient number, since it is larger than the sum of its proper divisors (1283206599).

2002333113 is a wasteful number, since it uses less digits than its factorization.

2002333113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8203 counting only the distinct ones).

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

The square root of 2002333113 is about 44747.4369433602. The cubic root of 2002333113 is about 1260.4107825407.

Adding to 2002333113 its reverse (3113332002), we get a palindrome (5115665115).

The spelling of 2002333113 in words is "two billion, two million, three hundred thirty-three thousand, one hundred thirteen".