100303321308133 has 2 divisors, whose sum is σ = 100303321308134. Its totient is φ = 100303321308132.

The previous prime is 100303321308097. The next prime is 100303321308161. The reversal of 100303321308133 is 331803123303001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97885240327809 + 2418080980324 = 9893697^2 + 1555018^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303321308133 - 2²¹ = 100303319210981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100303321308095 and 100303321308104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100303321308163) 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, 50151660654066 + 50151660654067.

It is an arithmetic number, because the mean of its divisors is an integer number (50151660654067).

Almost surely, 2^{100303321308133} is an apocalyptic number.

It is an amenable number.

100303321308133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303321308133 is an equidigital number, since it uses as much as digits as its factorization.

100303321308133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 100303321308133 in words is "one hundred trillion, three hundred three billion, three hundred twenty-one million, three hundred eight thousand, one hundred thirty-three".