100313200241 has 2 divisors, whose sum is σ = 100313200242. Its totient is φ = 100313200240.

The previous prime is 100313200219. The next prime is 100313200249. The reversal of 100313200241 is 142002313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54718566400 + 45594633841 = 233920^2 + 213529^2 .

It is an emirp because it is prime and its reverse (142002313001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100313200241 is a prime.

It is not a weakly prime, because it can be changed into another prime (100313200249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156600120 + 50156600121.

It is an arithmetic number, because the mean of its divisors is an integer number (50156600121).

Almost surely, 2^100313200241 is an apocalyptic number.

It is an amenable number.

100313200241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313200241 is an equidigital number, since it uses as much as digits as its factorization.

100313200241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100313200241 its reverse (142002313001), we get a palindrome (242315513242).

The spelling of 100313200241 in words is "one hundred billion, three hundred thirteen million, two hundred thousand, two hundred forty-one".