100324313440033 has 2 divisors, whose sum is σ = 100324313440034. Its totient is φ = 100324313440032.

The previous prime is 100324313440009. The next prime is 100324313440063. The reversal of 100324313440033 is 330044313423001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56992413646224 + 43331899793809 = 7549332^2 + 6582697^2 .

It is an emirp because it is prime and its reverse (330044313423001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100324313440033 - 2²⁵ = 100324279885601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100324313439977 and 100324313440004.

It is not a weakly prime, because it can be changed into another prime (100324313440003) 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 as a sum of consecutive naturals, namely, 50162156720016 + 50162156720017.

It is an arithmetic number, because the mean of its divisors is an integer number (50162156720017).

Almost surely, 2^{100324313440033} is an apocalyptic number.

It is an amenable number.

100324313440033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100324313440033 is an equidigital number, since it uses as much as digits as its factorization.

100324313440033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 100324313440033 its reverse (330044313423001), we get a palindrome (430368626863034).

The spelling of 100324313440033 in words is "one hundred trillion, three hundred twenty-four billion, three hundred thirteen million, four hundred forty thousand, thirty-three".