100001313101321 has 8 divisors (see below), whose sum is σ = 100024146942720. Its totient is φ = 99978479937072.

The previous prime is 100001313101311. The next prime is 100001313101449. The reversal of 100001313101321 is 123101313100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001313101321 - 2¹⁸ = 100001312839177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100001313101321.

It is not an unprimeable number, because it can be changed into a prime (100001313101311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402777206 + ... + 403025408.

It is an arithmetic number, because the mean of its divisors is an integer number (12503018367840).

Almost surely, 2^{100001313101321} is an apocalyptic number.

It is an amenable number.

100001313101321 is a deficient number, since it is larger than the sum of its proper divisors (22833841399).

100001313101321 is an equidigital number, since it uses as much as digits as its factorization.

100001313101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338575.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100001313101321 its reverse (123101313100001), we get a palindrome (223102626201322).

The spelling of 100001313101321 in words is "one hundred trillion, one billion, three hundred thirteen million, one hundred one thousand, three hundred twenty-one".