100018813 has 2 divisors, whose sum is σ = 100018814. Its totient is φ = 100018812.

The previous prime is 100018811. The next prime is 100018829. The reversal of 100018813 is 318810001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 458329 = 9978^2 + 677^2 .

It is an emirp because it is prime and its reverse (318810001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100018813 - 2¹ = 100018811 is a prime.

Together with 100018811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100018811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50009406 + 50009407.

It is an arithmetic number, because the mean of its divisors is an integer number (50009407).

Almost surely, 2^100018813 is an apocalyptic number.

It is an amenable number.

100018813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100018813 is an equidigital number, since it uses as much as digits as its factorization.

100018813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 100018813 is about 10000.9406057630. The cubic root of 100018813 is about 464.1879889397.

Adding to 100018813 its reverse (318810001), we get a palindrome (418828814).

The spelling of 100018813 in words is "one hundred million, eighteen thousand, eight hundred thirteen".