100013320313 has 24 divisors (see below), whose sum is σ = 111264736968. Its totient is φ = 89578936832.

The previous prime is 100013320289. The next prime is 100013320349. The reversal of 100013320313 is 313023310001.

It can be written as a sum of positive squares in 4 ways, for example, as 61576933609 + 38436386704 = 248147^2 + 196052^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100013320313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013320291 and 100013320300.

It is not an unprimeable number, because it can be changed into a prime (100013320513) 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, 1743395 + ... + 1799847.

It is an arithmetic number, because the mean of its divisors is an integer number (4636030707).

Almost surely, 2^100013320313 is an apocalyptic number.

It is an amenable number.

100013320313 is a deficient number, since it is larger than the sum of its proper divisors (11251416655).

100013320313 is a wasteful number, since it uses less digits than its factorization.

100013320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56713 (or 56690 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100013320313 its reverse (313023310001), we get a palindrome (413036630314).

The spelling of 100013320313 in words is "one hundred billion, thirteen million, three hundred twenty thousand, three hundred thirteen".