2002312113313 has 12 divisors (see below), whose sum is σ = 2127844685260. Its totient is φ = 1883801567232.

The previous prime is 2002312113301. The next prime is 2002312113391. The reversal of 2002312113313 is 3133112132002.

It can be written as a sum of positive squares in 6 ways, for example, as 20501371489 + 1981810741824 = 143183^2 + 1407768^2 .

It is not a de Polignac number, because 2002312113313 - 2²⁵ = 2002278558881 is a prime.

It is a super-3 number, since 3×2002312113313³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002312113413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586608 + ... + 2085361.

Almost surely, 2^{2002312113313} is an apocalyptic number.

It is an amenable number.

2002312113313 is a deficient number, since it is larger than the sum of its proper divisors (125532571947).

2002312113313 is a wasteful number, since it uses less digits than its factorization.

2002312113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674596 (or 2674579 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2002312113313 its reverse (3133112132002), we get a palindrome (5135424245315).

The spelling of 2002312113313 in words is "two trillion, two billion, three hundred twelve million, one hundred thirteen thousand, three hundred thirteen".