100223312133 has 24 divisors (see below), whose sum is σ = 164592430272. Its totient is φ = 53901611904.

The previous prime is 100223312129. The next prime is 100223312141. The reversal of 100223312133 is 331213322001.

It is not a de Polignac number, because 100223312133 - 2² = 100223312129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223312113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20050185 + ... + 20055182.

It is an arithmetic number, because the mean of its divisors is an integer number (6858017928).

Almost surely, 2^100223312133 is an apocalyptic number.

It is an amenable number.

100223312133 is a deficient number, since it is larger than the sum of its proper divisors (64369118139).

100223312133 is a wasteful number, since it uses less digits than its factorization.

100223312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40105401 (or 40105394 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100223312133 its reverse (331213322001), we get a palindrome (431436634134).

The spelling of 100223312133 in words is "one hundred billion, two hundred twenty-three million, three hundred twelve thousand, one hundred thirty-three".