100220320313 has 16 divisors (see below), whose sum is σ = 104864772096. Its totient is φ = 95600178960.

The previous prime is 100220320301. The next prime is 100220320339. The reversal of 100220320313 is 313023022001.

It is not a de Polignac number, because 100220320313 - 2¹⁴ = 100220303929 is a prime.

It is a super-2 number, since 2×100220320313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100220320291 and 100220320300.

It is not an unprimeable number, because it can be changed into a prime (100225320313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13712006 + ... + 13719312.

It is an arithmetic number, because the mean of its divisors is an integer number (6554048256).

Almost surely, 2^100220320313 is an apocalyptic number.

It is an amenable number.

100220320313 is a deficient number, since it is larger than the sum of its proper divisors (4644451783).

100220320313 is an equidigital number, since it uses as much as digits as its factorization.

100220320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100220320313 its reverse (313023022001), we get a palindrome (413243342314).

The spelling of 100220320313 in words is "one hundred billion, two hundred twenty million, three hundred twenty thousand, three hundred thirteen".