12002313012313 has 64 divisors (see below), whose sum is σ = 14114870784000. Its totient is φ = 10106470563840.

The previous prime is 12002313012307. The next prime is 12002313012317. The reversal of 12002313012313 is 31321031320021.

It is a cyclic number.

It is not a de Polignac number, because 12002313012313 - 2²⁵ = 12002279457881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002313012317) 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 63 ways as a sum of consecutive naturals, for example, 281399413 + ... + 281442061.

It is an arithmetic number, because the mean of its divisors is an integer number (220544856000).

Almost surely, 2^{12002313012313} is an apocalyptic number.

12002313012313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12002313012313 is a deficient number, since it is larger than the sum of its proper divisors (2112557771687).

12002313012313 is a wasteful number, since it uses less digits than its factorization.

12002313012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43042.

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

Adding to 12002313012313 its reverse (31321031320021), we get a palindrome (43323344332334).

The spelling of 12002313012313 in words is "twelve trillion, two billion, three hundred thirteen million, twelve thousand, three hundred thirteen".