2033010013 has 16 divisors (see below), whose sum is σ = 2179146240. Its totient is φ = 1890907200.

The previous prime is 2033009981. The next prime is 2033010047. The reversal of 2033010013 is 3100103302.

It is a cyclic number.

It is not a de Polignac number, because 2033010013 - 2⁵ = 2033009981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2033009975 and 2033010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033010053) 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, 783348 + ... + 785938.

It is an arithmetic number, because the mean of its divisors is an integer number (136196640).

Almost surely, 2^2033010013 is an apocalyptic number.

It is an amenable number.

2033010013 is a deficient number, since it is larger than the sum of its proper divisors (146136227).

2033010013 is a wasteful number, since it uses less digits than its factorization.

2033010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2033010013 is about 45088.9123066858. The cubic root of 2033010013 is about 1266.8149284057.

Adding to 2033010013 its reverse (3100103302), we get a palindrome (5133113315).

The spelling of 2033010013 in words is "two billion, thirty-three million, ten thousand, thirteen".