100213013223 has 48 divisors (see below), whose sum is σ = 153126904320. Its totient is φ = 62979130368.

The previous prime is 100213013209. The next prime is 100213013231. The reversal of 100213013223 is 322310312001.

It is not a de Polignac number, because 100213013223 - 2¹⁰ = 100213012199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213013196 and 100213013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213013293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34235986 + ... + 34238912.

It is an arithmetic number, because the mean of its divisors is an integer number (3190143840).

Almost surely, 2^100213013223 is an apocalyptic number.

100213013223 is a deficient number, since it is larger than the sum of its proper divisors (52913891097).

100213013223 is a wasteful number, since it uses less digits than its factorization.

100213013223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100213013223 its reverse (322310312001), we get a palindrome (422523325224).

The spelling of 100213013223 in words is "one hundred billion, two hundred thirteen million, thirteen thousand, two hundred twenty-three".