100913 has 2 divisors, whose sum is σ = 100914. Its totient is φ = 100912.

The previous prime is 100907. The next prime is 100927. The reversal of 100913 is 319001.

It is an a-pointer prime, because the next prime (100927) can be obtained adding 100913 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 47089 = 232^2 + 217^2 .

It is an emirp because it is prime and its reverse (319001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100913 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50456 + 50457.

It is an arithmetic number, because the mean of its divisors is an integer number (50457).

2¹⁰⁰⁹¹³ is an apocalyptic number.

It is an amenable number.

100913 is a deficient number, since it is larger than the sum of its proper divisors (1).

100913 is an equidigital number, since it uses as much as digits as its factorization.

100913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 100913 is about 317.6680657542. The cubic root of 100913 is about 46.5567196254.

Adding to 100913 its reverse (319001), we get a palindrome (419914).

The spelling of 100913 in words is "one hundred thousand, nine hundred thirteen".