2002313313 has 72 divisors (see below), whose sum is σ = 3952742976. Its totient is φ = 960120000.

The previous prime is 2002313297. The next prime is 2002313333. The reversal of 2002313313 is 3133132002.

It is not a de Polignac number, because 2002313313 - 2⁴ = 2002313297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002313333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47188 + ... + 78938.

It is an arithmetic number, because the mean of its divisors is an integer number (54899208).

Almost surely, 2^2002313313 is an apocalyptic number.

It is an amenable number.

2002313313 is a deficient number, since it is larger than the sum of its proper divisors (1950429663).

2002313313 is a wasteful number, since it uses less digits than its factorization.

2002313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31795 (or 31785 counting only the distinct ones).

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

The square root of 2002313313 is about 44747.2157010914. The cubic root of 2002313313 is about 1260.4066280179.

Adding to 2002313313 its reverse (3133132002), we get a palindrome (5135445315).

The spelling of 2002313313 in words is "two billion, two million, three hundred thirteen thousand, three hundred thirteen".