2013310010033 has 16 divisors (see below), whose sum is σ = 2324487960960. Its totient is φ = 1708056066816.

The previous prime is 2013310010011. The next prime is 2013310010039. The reversal of 2013310010033 is 3300100133102.

It is a cyclic number.

It is not a de Polignac number, because 2013310010033 - 2⁶ = 2013310009969 is a prime.

It is a super-2 number, since 2×2013310010033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013310009993 and 2013310010020.

It is not an unprimeable number, because it can be changed into a prime (2013310010039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670616 + ... + 2115737.

It is an arithmetic number, because the mean of its divisors is an integer number (145280497560).

Almost surely, 2^{2013310010033} is an apocalyptic number.

It is an amenable number.

2013310010033 is a deficient number, since it is larger than the sum of its proper divisors (311177950927).

2013310010033 is a wasteful number, since it uses less digits than its factorization.

2013310010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787416.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 2013310010033 its reverse (3300100133102), we get a palindrome (5313410143135).

The spelling of 2013310010033 in words is "two trillion, thirteen billion, three hundred ten million, ten thousand, thirty-three".