2013033021313 has 16 divisors (see below), whose sum is σ = 2068263997632. Its totient is φ = 1958556600000.

The previous prime is 2013033021289. The next prime is 2013033021341. The reversal of 2013033021313 is 3131203303102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013033021313 is a prime.

It is a super-2 number, since 2×2013033021313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013033025313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6319770 + ... + 6630652.

It is an arithmetic number, because the mean of its divisors is an integer number (129266499852).

Almost surely, 2^{2013033021313} is an apocalyptic number.

It is an amenable number.

2013033021313 is a deficient number, since it is larger than the sum of its proper divisors (55230976319).

2013033021313 is a wasteful number, since it uses less digits than its factorization.

2013033021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312096.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2013033021313 its reverse (3131203303102), we get a palindrome (5144236324415).

The spelling of 2013033021313 in words is "two trillion, thirteen billion, thirty-three million, twenty-one thousand, three hundred thirteen".