100303110112313 has 16 divisors (see below), whose sum is σ = 101585135057040. Its totient is φ = 99024545258496.

The previous prime is 100303110112307. The next prime is 100303110112409. The reversal of 100303110112313 is 313211011303001.

It can be written as a sum of positive squares in 8 ways, for example, as 11708085637264 + 88595024475049 = 3421708^2 + 9412493^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303110112313 - 2²² = 100303105918009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100303110112613) 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, 1826421731 + ... + 1826476647.

It is an arithmetic number, because the mean of its divisors is an integer number (6349070941065).

Almost surely, 2^{100303110112313} is an apocalyptic number.

It is an amenable number.

100303110112313 is a deficient number, since it is larger than the sum of its proper divisors (1282024944727).

100303110112313 is an equidigital number, since it uses as much as digits as its factorization.

100303110112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85996.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100303110112313 its reverse (313211011303001), we get a palindrome (413514121415314).

The spelling of 100303110112313 in words is "one hundred trillion, three hundred three billion, one hundred ten million, one hundred twelve thousand, three hundred thirteen".