10033133013 has 16 divisors (see below), whose sum is σ = 14892451200. Its totient is φ = 6675907680.

The previous prime is 10033132927. The next prime is 10033133029. The reversal of 10033133013 is 31033133001.

10033133013 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 330 + 1 + 3 = 666.

10033133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10033133013 - 2¹⁴ = 10033116629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033133053) 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, 342553 + ... + 370686.

It is an arithmetic number, because the mean of its divisors is an integer number (930778200).

Almost surely, 2^10033133013 is an apocalyptic number.

It is an amenable number.

10033133013 is a deficient number, since it is larger than the sum of its proper divisors (4859318187).

10033133013 is an equidigital number, since it uses as much as digits as its factorization.

10033133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713769 (or 713763 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10033133013 its reverse (31033133001), we get a palindrome (41066266014).

The spelling of 10033133013 in words is "ten billion, thirty-three million, one hundred thirty-three thousand, thirteen".