2033330013 has 32 divisors (see below), whose sum is σ = 3538980480. Its totient is φ = 1137525120.

The previous prime is 2033329997. The next prime is 2033330017. The reversal of 2033330013 is 3100333302.

2033330013 is a `hidden beast` number, since 20 + 333 + 300 + 13 = 666.

It is not a de Polignac number, because 2033330013 - 2⁴ = 2033329997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033330017) 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 31 ways as a sum of consecutive naturals, for example, 259456 + ... + 267177.

It is an arithmetic number, because the mean of its divisors is an integer number (110593140).

Almost surely, 2^2033330013 is an apocalyptic number.

It is an amenable number.

2033330013 is a deficient number, since it is larger than the sum of its proper divisors (1505650467).

2033330013 is a wasteful number, since it uses less digits than its factorization.

2033330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526666 (or 526660 counting only the distinct ones).

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

The square root of 2033330013 is about 45092.4607112985. The cubic root of 2033330013 is about 1266.8813913526.

Adding to 2033330013 its reverse (3100333302), we get a palindrome (5133663315).

The spelling of 2033330013 in words is "two billion, thirty-three million, three hundred thirty thousand, thirteen".