2013033033 has 32 divisors (see below), whose sum is σ = 3424627200. Its totient is φ = 1155805200.

The previous prime is 2013032981. The next prime is 2013033059. The reversal of 2013033033 is 3303303102.

It is not a de Polignac number, because 2013033033 - 2¹³ = 2013024841 is a prime.

2013033033 is a modest number, since divided by 33033 gives 2013 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013032997 and 2013033015.

It is not an unprimeable number, because it can be changed into a prime (2013033073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172723 + ... + 184008.

It is an arithmetic number, because the mean of its divisors is an integer number (107019600).

Almost surely, 2^2013033033 is an apocalyptic number.

It is an amenable number.

2013033033 is a deficient number, since it is larger than the sum of its proper divisors (1411594167).

2013033033 is a wasteful number, since it uses less digits than its factorization.

2013033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356770 (or 356764 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 2013033033 is about 44866.8366725358. The cubic root of 2013033033 is about 1262.6518920345.

Adding to 2013033033 its reverse (3303303102), we get a palindrome (5316336135).

The spelling of 2013033033 in words is "two billion, thirteen million, thirty-three thousand, thirty-three".