100323313000241 has 2 divisors, whose sum is σ = 100323313000242. Its totient is φ = 100323313000240.

The previous prime is 100323313000181. The next prime is 100323313000283. The reversal of 100323313000241 is 142000313323001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83826750933025 + 16496562067216 = 9155695^2 + 4061596^2 .

It is a cyclic number.

It is not a de Polignac number, because 100323313000241 - 2¹⁸ = 100323312738097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100323313000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161656500120 + 50161656500121.

It is an arithmetic number, because the mean of its divisors is an integer number (50161656500121).

Almost surely, 2^{100323313000241} is an apocalyptic number.

It is an amenable number.

100323313000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100323313000241 is an equidigital number, since it uses as much as digits as its factorization.

100323313000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100323313000241 its reverse (142000313323001), we get a palindrome (242323626323242).

The spelling of 100323313000241 in words is "one hundred trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred forty-one", and thus it is an aban number.