100021333313 has 16 divisors (see below), whose sum is σ = 112652390400. Its totient is φ = 87980936400.

The previous prime is 100021333271. The next prime is 100021333327. The reversal of 100021333313 is 313333120001.

It is a cyclic number.

It is not a de Polignac number, because 100021333313 - 2¹⁶ = 100021267777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100021333343) 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 15 ways as a sum of consecutive naturals, for example, 2437238 + ... + 2477936.

It is an arithmetic number, because the mean of its divisors is an integer number (7040774400).

Almost surely, 2^100021333313 is an apocalyptic number.

It is an amenable number.

100021333313 is a deficient number, since it is larger than the sum of its proper divisors (12631057087).

100021333313 is a wasteful number, since it uses less digits than its factorization.

100021333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47948.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100021333313 its reverse (313333120001), we get a palindrome (413354453314).

It can be divided in two parts, 100021 and 333313, that added together give a palindrome (433334).

The spelling of 100021333313 in words is "one hundred billion, twenty-one million, three hundred thirty-three thousand, three hundred thirteen".