100323313000181 has 2 divisors, whose sum is σ = 100323313000182. Its totient is φ = 100323313000180.

The previous prime is 100323313000159. The next prime is 100323313000241. The reversal of 100323313000181 is 181000313323001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54884523911281 + 45438789088900 = 7408409^2 + 6740830^2 .

It is a cyclic number.

It is not a de Polignac number, because 100323313000181 - 2¹⁰ = 100323312999157 is a prime.

It is a super-2 number, since 2×100323313000181² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100323313000181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100323313002181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161656500090 + 50161656500091.

It is an arithmetic number, because the mean of its divisors is an integer number (50161656500091).

Almost surely, 2^{100323313000181} is an apocalyptic number.

It is an amenable number.

100323313000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100323313000181 is an equidigital number, since it uses as much as digits as its factorization.

100323313000181 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 26.

Adding to 100323313000181 its reverse (181000313323001), we get a palindrome (281323626323182).

The spelling of 100323313000181 in words is "one hundred trillion, three hundred twenty-three billion, three hundred thirteen million, one hundred eighty-one", and thus it is an aban number.