2133300013 has 6 divisors (see below), whose sum is σ = 2310023274. Its totient is φ = 1969199856.

The previous prime is 2133300011. The next prime is 2133300049. The reversal of 2133300013 is 3100033312.

It can be written as a sum of positive squares in 3 ways, for example, as 272844324 + 1860455689 = 16518^2 + 43133^2 .

It is not a de Polignac number, because 2133300013 - 2¹ = 2133300011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2133300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133300011) 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 5 ways as a sum of consecutive naturals, for example, 6311370 + ... + 6311707.

It is an arithmetic number, because the mean of its divisors is an integer number (385003879).

Almost surely, 2^2133300013 is an apocalyptic number.

It is an amenable number.

2133300013 is a deficient number, since it is larger than the sum of its proper divisors (176723261).

2133300013 is a wasteful number, since it uses less digits than its factorization.

2133300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623103 (or 12623090 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2133300013 is about 46187.6608305725. The cubic root of 2133300013 is about 1287.3124772668.

Adding to 2133300013 its reverse (3100033312), we get a palindrome (5233333325).

The spelling of 2133300013 in words is "two billion, one hundred thirty-three million, three hundred thousand, thirteen".