100365016133 has 2 divisors, whose sum is σ = 100365016134. Its totient is φ = 100365016132.

The previous prime is 100365016093. The next prime is 100365016181. The reversal of 100365016133 is 331610563001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100119717889 + 245298244 = 316417^2 + 15662^2 .

It is a cyclic number.

It is not a de Polignac number, because 100365016133 - 2²⁸ = 100096580677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100365016096 and 100365016105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100365010133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50182508066 + 50182508067.

It is an arithmetic number, because the mean of its divisors is an integer number (50182508067).

Almost surely, 2^100365016133 is an apocalyptic number.

It is an amenable number.

100365016133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100365016133 is an equidigital number, since it uses as much as digits as its factorization.

100365016133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

Adding to 100365016133 its reverse (331610563001), we get a palindrome (431975579134).

The spelling of 100365016133 in words is "one hundred billion, three hundred sixty-five million, sixteen thousand, one hundred thirty-three".