12313003332113 has 24 divisors (see below), whose sum is σ = 14031774270720. Its totient is φ = 10702720227360.

The previous prime is 12313003332089. The next prime is 12313003332131. The reversal of 12313003332113 is 31123330031321.

It is a de Polignac number, because none of the positive numbers 2^k-12313003332113 is a prime.

It is a super-2 number, since 2×12313003332113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12313003332173) 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 23 ways as a sum of consecutive naturals, for example, 1565120 + ... + 5203422.

It is an arithmetic number, because the mean of its divisors is an integer number (584657261280).

Almost surely, 2^{12313003332113} is an apocalyptic number.

It is an amenable number.

12313003332113 is a deficient number, since it is larger than the sum of its proper divisors (1718770938607).

12313003332113 is a wasteful number, since it uses less digits than its factorization.

12313003332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638549 (or 3638446 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12313003332113 its reverse (31123330031321), we get a palindrome (43436333363434).

The spelling of 12313003332113 in words is "twelve trillion, three hundred thirteen billion, three million, three hundred thirty-two thousand, one hundred thirteen".