100333301013 has 24 divisors (see below), whose sum is σ = 160266737280. Its totient is φ = 59975069760.

The previous prime is 100333301009. The next prime is 100333301021. The reversal of 100333301013 is 310103333001.

It is not a de Polignac number, because 100333301013 - 2² = 100333301009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333301093) 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 23 ways as a sum of consecutive naturals, for example, 6934333 + ... + 6948786.

It is an arithmetic number, because the mean of its divisors is an integer number (6677780720).

Almost surely, 2^100333301013 is an apocalyptic number.

It is an amenable number.

100333301013 is a deficient number, since it is larger than the sum of its proper divisors (59933436267).

100333301013 is a wasteful number, since it uses less digits than its factorization.

100333301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13883209 (or 13883206 counting only the distinct ones).

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

Adding to 100333301013 its reverse (310103333001), we get a palindrome (410436634014).

The spelling of 100333301013 in words is "one hundred billion, three hundred thirty-three million, three hundred one thousand, thirteen".