2013323213313 has 8 divisors (see below), whose sum is σ = 2982701056800. Its totient is φ = 1342215475524.

The previous prime is 2013323213287. The next prime is 2013323213329. The reversal of 2013323213313 is 3133123233102.

2013323213313 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 3 + 2 + 321 + 331 + 3 = 666.

It is not a de Polignac number, because 2013323213313 - 2⁹ = 2013323212801 is a prime.

It is a super-2 number, since 2×2013323213313² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74567526419 = 2013323213313 / (2 + 0 + 1 + 3 + 3 + 2 + 3 + 2 + 1 + 3 + 3 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (2013323213413) 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, 37283763183 + ... + 37283763236.

It is an arithmetic number, because the mean of its divisors is an integer number (372837632100).

Almost surely, 2^{2013323213313} is an apocalyptic number.

It is an amenable number.

2013323213313 is a deficient number, since it is larger than the sum of its proper divisors (969377843487).

2013323213313 is an equidigital number, since it uses as much as digits as its factorization.

2013323213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74567526428 (or 74567526422 counting only the distinct ones).

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

Adding to 2013323213313 its reverse (3133123233102), we get a palindrome (5146446446415).

The spelling of 2013323213313 in words is "two trillion, thirteen billion, three hundred twenty-three million, two hundred thirteen thousand, three hundred thirteen".