100013000223321 has 24 divisors (see below), whose sum is σ = 146415117214080. Its totient is φ = 65775881092896.

The previous prime is 100013000223287. The next prime is 100013000223347. The reversal of 100013000223321 is 123322000310001.

100013000223321 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 300 + 0 + 22 + 332 + 1 = 666.

It is not a de Polignac number, because 100013000223321 - 2¹¹ = 100013000221273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100013000223294 and 100013000223303.

It is not an unprimeable number, because it can be changed into a prime (100013000623321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58408470 + ... + 60096383.

It is an arithmetic number, because the mean of its divisors is an integer number (6100629883920).

Almost surely, 2^{100013000223321} is an apocalyptic number.

It is an amenable number.

100013000223321 is a deficient number, since it is larger than the sum of its proper divisors (46402116990759).

100013000223321 is a wasteful number, since it uses less digits than its factorization.

100013000223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118506125 (or 118506122 counting only the distinct ones).

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

Adding to 100013000223321 its reverse (123322000310001), we get a palindrome (223335000533322).

The spelling of 100013000223321 in words is "one hundred trillion, thirteen billion, two hundred twenty-three thousand, three hundred twenty-one".