100013332213073 has 2 divisors, whose sum is σ = 100013332213074. Its totient is φ = 100013332213072.

The previous prime is 100013332213033. The next prime is 100013332213147. The reversal of 100013332213073 is 370312233310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90946205511184 + 9067126701889 = 9536572^2 + 3011167^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013332213073 - 2¹⁰ = 100013332212049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100013332213033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006666106536 + 50006666106537.

It is an arithmetic number, because the mean of its divisors is an integer number (50006666106537).

Almost surely, 2^{100013332213073} is an apocalyptic number.

It is an amenable number.

100013332213073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013332213073 is an equidigital number, since it uses as much as digits as its factorization.

100013332213073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

Adding to 100013332213073 its reverse (370312233310001), we get a palindrome (470325565523074).

The spelling of 100013332213073 in words is "one hundred trillion, thirteen billion, three hundred thirty-two million, two hundred thirteen thousand, seventy-three".