2013333301313 has 8 divisors (see below), whose sum is σ = 2068935459240. Its totient is φ = 1957793656320.

The previous prime is 2013333301289. The next prime is 2013333301321. The reversal of 2013333301313 is 3131033333102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46080203569 + 1967253097744 = 214663^2 + 1402588^2 .

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 2013333301313 - 2¹⁴ = 2013333284929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013333300313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15562928 + ... + 15691761.

It is an arithmetic number, because the mean of its divisors is an integer number (258616932405).

Almost surely, 2^{2013333301313} is an apocalyptic number.

It is an amenable number.

2013333301313 is a deficient number, since it is larger than the sum of its proper divisors (55602157927).

2013333301313 is a wasteful number, since it uses less digits than its factorization.

2013333301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31256467.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 2013333301313 its reverse (3131033333102), we get a palindrome (5144366634415).

The spelling of 2013333301313 in words is "two trillion, thirteen billion, three hundred thirty-three million, three hundred one thousand, three hundred thirteen".