2002313013 has 16 divisors (see below), whose sum is σ = 2683227456. Its totient is φ = 1328152320.

The previous prime is 2002312997. The next prime is 2002313041. The reversal of 2002313013 is 3103132002.

It is not a de Polignac number, because 2002313013 - 2⁴ = 2002312997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002312983 and 2002313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002313083) 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, 746631 + ... + 749307.

It is an arithmetic number, because the mean of its divisors is an integer number (167701716).

Almost surely, 2^2002313013 is an apocalyptic number.

It is an amenable number.

2002313013 is a deficient number, since it is larger than the sum of its proper divisors (680914443).

2002313013 is a wasteful number, since it uses less digits than its factorization.

2002313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2002313013 is about 44747.2123489274. The cubic root of 2002313013 is about 1260.4065650704.

Adding to 2002313013 its reverse (3103132002), we get a palindrome (5105445015).

The spelling of 2002313013 in words is "two billion, two million, three hundred thirteen thousand, thirteen".