2002034313 has 40 divisors (see below), whose sum is σ = 3180789920. Its totient is φ = 1251313920.

The previous prime is 2002034273. The next prime is 2002034317. The reversal of 2002034313 is 3134302002.

It is not a de Polignac number, because 2002034313 - 2¹⁸ = 2001772169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002034317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142578 + ... + 155988.

It is an arithmetic number, because the mean of its divisors is an integer number (79519748).

Almost surely, 2^2002034313 is an apocalyptic number.

It is an amenable number.

2002034313 is a deficient number, since it is larger than the sum of its proper divisors (1178755607).

2002034313 is a wasteful number, since it uses less digits than its factorization.

2002034313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2002034313 is about 44744.0980800820. The cubic root of 2002034313 is about 1260.3480841025.

Adding to 2002034313 its reverse (3134302002), we get a palindrome (5136336315).

The spelling of 2002034313 in words is "two billion, two million, thirty-four thousand, three hundred thirteen".