100133221313 has 4 divisors (see below), whose sum is σ = 106023410820. Its totient is φ = 94243031808.

The previous prime is 100133221261. The next prime is 100133221319. The reversal of 100133221313 is 313122331001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 80947647169 + 19185574144 = 284513^2 + 138512^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133221313 - 2⁸ = 100133221057 is a prime.

It is a super-3 number, since 3×100133221313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133221319) 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 3 ways as a sum of consecutive naturals, for example, 2945094728 + ... + 2945094761.

It is an arithmetic number, because the mean of its divisors is an integer number (26505852705).

Almost surely, 2^100133221313 is an apocalyptic number.

It is an amenable number.

100133221313 is a deficient number, since it is larger than the sum of its proper divisors (5890189507).

100133221313 is an equidigital number, since it uses as much as digits as its factorization.

100133221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890189506.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100133221313 its reverse (313122331001), we get a palindrome (413255552314).

The spelling of 100133221313 in words is "one hundred billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred thirteen".