100013633 has 2 divisors, whose sum is σ = 100013634. Its totient is φ = 100013632.

The previous prime is 100013623. The next prime is 100013707. The reversal of 100013633 is 336310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59474944 + 40538689 = 7712^2 + 6367^2 .

It is an emirp because it is prime and its reverse (336310001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100013633 - 2¹⁰ = 100012609 is a prime.

It is not a weakly prime, because it can be changed into another prime (100013623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006816 + 50006817.

It is an arithmetic number, because the mean of its divisors is an integer number (50006817).

Almost surely, 2^100013633 is an apocalyptic number.

It is an amenable number.

100013633 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013633 is an equidigital number, since it uses as much as digits as its factorization.

100013633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 100013633 is about 10000.6816267692. The cubic root of 100013633 is about 464.1799753297.

Adding to 100013633 its reverse (336310001), we get a palindrome (436323634).

The spelling of 100013633 in words is "one hundred million, thirteen thousand, six hundred thirty-three".