12002200313313 has 24 divisors (see below), whose sum is σ = 19425034052928. Its totient is φ = 6560208865056.

The previous prime is 12002200313269. The next prime is 12002200313347. The reversal of 12002200313313 is 31331300220021.

It is not a de Polignac number, because 12002200313313 - 2⁶ = 12002200313249 is a prime.

It is a super-3 number, since 3×12002200313313³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12002200313313.

It is not an unprimeable number, because it can be changed into a prime (12002200313393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774944906 + ... + 1774951667.

It is an arithmetic number, because the mean of its divisors is an integer number (809376418872).

Almost surely, 2^{12002200313313} is an apocalyptic number.

It is an amenable number.

12002200313313 is a deficient number, since it is larger than the sum of its proper divisors (7422833739615).

12002200313313 is a wasteful number, since it uses less digits than its factorization.

12002200313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549896613 (or 3549896606 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12002200313313 its reverse (31331300220021), we get a palindrome (43333500533334).

The spelling of 12002200313313 in words is "twelve trillion, two billion, two hundred million, three hundred thirteen thousand, three hundred thirteen".