2012313323313 has 12 divisors (see below), whose sum is σ = 3006904966260. Its totient is φ = 1295282138976.

The previous prime is 2012313323297. The next prime is 2012313323351. The reversal of 2012313323313 is 3133233132102.

2012313323313 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 313 + 32 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1528319007504 + 483994315809 = 1236252^2 + 695697^2 .

It is not a de Polignac number, because 2012313323313 - 2⁴ = 2012313323297 is a prime.

It is a super-2 number, since 2×2012313323313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012313327313) 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 11 ways as a sum of consecutive naturals, for example, 3855006106 + ... + 3855006627.

It is an arithmetic number, because the mean of its divisors is an integer number (250575413855).

Almost surely, 2^{2012313323313} is an apocalyptic number.

It is an amenable number.

2012313323313 is a deficient number, since it is larger than the sum of its proper divisors (994591642947).

2012313323313 is a wasteful number, since it uses less digits than its factorization.

2012313323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710012768 (or 7710012765 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2012313323313 its reverse (3133233132102), we get a palindrome (5145546455415).

The spelling of 2012313323313 in words is "two trillion, twelve billion, three hundred thirteen million, three hundred twenty-three thousand, three hundred thirteen".