2013332323313 has 8 divisors (see below), whose sum is σ = 2013939813600. Its totient is φ = 2012724927360.

The previous prime is 2013332323309. The next prime is 2013332323319. The reversal of 2013332323313 is 3133232333102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013332323313 - 2² = 2013332323309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013332323319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71637338 + ... + 71665436.

It is an arithmetic number, because the mean of its divisors is an integer number (251742476700).

Almost surely, 2^{2013332323313} is an apocalyptic number.

It is an amenable number.

2013332323313 is a deficient number, since it is larger than the sum of its proper divisors (607490287).

2013332323313 is a wasteful number, since it uses less digits than its factorization.

2013332323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47167.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 2013332323313 its reverse (3133232333102), we get a palindrome (5146564656415).

The spelling of 2013332323313 in words is "two trillion, thirteen billion, three hundred thirty-two million, three hundred twenty-three thousand, three hundred thirteen".