100133002000309 has 2 divisors, whose sum is σ = 100133002000310. Its totient is φ = 100133002000308.

The previous prime is 100133002000271. The next prime is 100133002000313. The reversal of 100133002000309 is 903000200331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99194628122500 + 938373877809 = 9959650^2 + 968697^2 .

It is an emirp because it is prime and its reverse (903000200331001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100133002000309 - 2⁷ = 100133002000181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100133002000309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133002000319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066501000154 + 50066501000155.

It is an arithmetic number, because the mean of its divisors is an integer number (50066501000155).

Almost surely, 2^{100133002000309} is an apocalyptic number.

It is an amenable number.

100133002000309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133002000309 is an equidigital number, since it uses as much as digits as its factorization.

100133002000309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 100133002000309 in words is "one hundred trillion, one hundred thirty-three billion, two million, three hundred nine", and thus it is an aban number.