100200013 has 2 divisors, whose sum is σ = 100200014. Its totient is φ = 100200012.

The previous prime is 100200011. The next prime is 100200031. The reversal of 100200013 is 310002001.

Together with next prime (100200031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63075364 + 37124649 = 7942^2 + 6093^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200013 - 2¹ = 100200011 is a prime.

Together with 100200011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100199969 and 100200005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200011) 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, 50100006 + 50100007.

It is an arithmetic number, because the mean of its divisors is an integer number (50100007).

Almost surely, 2^100200013 is an apocalyptic number.

It is an amenable number.

100200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200013 is an equidigital number, since it uses as much as digits as its factorization.

100200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100200013 is about 10009.9956543447. The cubic root of 100200013 is about 464.4681366397.

Adding to 100200013 its reverse (310002001), we get a palindrome (410202014).

The spelling of 100200013 in words is "one hundred million, two hundred thousand, thirteen".