100323553132073 has 2 divisors, whose sum is σ = 100323553132074. Its totient is φ = 100323553132072.

The previous prime is 100323553131979. The next prime is 100323553132079. The reversal of 100323553132073 is 370231355323001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64830710269504 + 35492842862569 = 8051752^2 + 5957587^2 .

It is a cyclic number.

It is not a de Polignac number, because 100323553132073 - 2²⁸ = 100323284696617 is a prime.

It is a super-3 number, since 3×100323553132073³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100323553132079) 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, 50161776566036 + 50161776566037.

It is an arithmetic number, because the mean of its divisors is an integer number (50161776566037).

Almost surely, 2^{100323553132073} is an apocalyptic number.

It is an amenable number.

100323553132073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100323553132073 is an equidigital number, since it uses as much as digits as its factorization.

100323553132073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 38.

The spelling of 100323553132073 in words is "one hundred trillion, three hundred twenty-three billion, five hundred fifty-three million, one hundred thirty-two thousand, seventy-three".