100213013133 has 48 divisors (see below), whose sum is σ = 155055753216. Its totient is φ = 64611814320.

The previous prime is 100213013113. The next prime is 100213013149. The reversal of 100213013133 is 331310312001.

It is a happy number.

It is not a de Polignac number, because 100213013133 - 2⁸ = 100213012877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213013113) 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 47 ways as a sum of consecutive naturals, for example, 15266110 + ... + 15272672.

It is an arithmetic number, because the mean of its divisors is an integer number (3230328192).

Almost surely, 2^100213013133 is an apocalyptic number.

It is an amenable number.

100213013133 is a deficient number, since it is larger than the sum of its proper divisors (54842740083).

100213013133 is an equidigital number, since it uses as much as digits as its factorization.

100213013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100213013133 its reverse (331310312001), we get a palindrome (431523325134).

The spelling of 100213013133 in words is "one hundred billion, two hundred thirteen million, thirteen thousand, one hundred thirty-three".