2002103312013 has 32 divisors (see below), whose sum is σ = 3568215321600. Its totient is φ = 1083845400048.

The previous prime is 2002103312009. The next prime is 2002103312039. The reversal of 2002103312013 is 3102133012002.

It is not a de Polignac number, because 2002103312013 - 2² = 2002103312009 is a prime.

It is a super-2 number, since 2×2002103312013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002103312213) 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 31 ways as a sum of consecutive naturals, for example, 278763231 + ... + 278770412.

It is an arithmetic number, because the mean of its divisors is an integer number (111506728800).

Almost surely, 2^{2002103312013} is an apocalyptic number.

It is an amenable number.

2002103312013 is a deficient number, since it is larger than the sum of its proper divisors (1566112009587).

2002103312013 is a wasteful number, since it uses less digits than its factorization.

2002103312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557533678 (or 557533672 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002103312013 its reverse (3102133012002), we get a palindrome (5104236324015).

The spelling of 2002103312013 in words is "two trillion, two billion, one hundred three million, three hundred twelve thousand, thirteen".