100313311123313 has 4 divisors (see below), whose sum is σ = 100313343506148. Its totient is φ = 100313278740480.

The previous prime is 100313311123183. The next prime is 100313311123357. The reversal of 100313311123313 is 313321113313001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 90487142575729 + 9826168547584 = 9512473^2 + 3134672^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313311123313 - 2¹⁰ = 100313311122289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100313311023313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10987256 + ... + 17926137.

It is an arithmetic number, because the mean of its divisors is an integer number (25078335876537).

Almost surely, 2^{100313311123313} is an apocalyptic number.

It is an amenable number.

100313311123313 is a deficient number, since it is larger than the sum of its proper divisors (32382835).

100313311123313 is an equidigital number, since it uses as much as digits as its factorization.

100313311123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32382834.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 100313311123313 its reverse (313321113313001), we get a palindrome (413634424436314).

The spelling of 100313311123313 in words is "one hundred trillion, three hundred thirteen billion, three hundred eleven million, one hundred twenty-three thousand, three hundred thirteen".