100002013 has 2 divisors, whose sum is σ = 100002014. Its totient is φ = 100002012.

The previous prime is 100002011. The next prime is 100002017. The reversal of 100002013 is 310200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82210489 + 17791524 = 9067^2 + 4218^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002013 - 2¹ = 100002011 is a prime.

Together with 100002011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100001987 and 100002005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001006 + 50001007.

It is an arithmetic number, because the mean of its divisors is an integer number (50001007).

Almost surely, 2^100002013 is an apocalyptic number.

It is an amenable number.

100002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002013 is an equidigital number, since it uses as much as digits as its factorization.

100002013 is an evil number, because the sum of its binary digits is even.

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

The square root of 100002013 is about 10000.1006494935. The cubic root of 100002013 is about 464.1619978465.

Adding to 100002013 its reverse (310200001), we get a palindrome (410202014).

The spelling of 100002013 in words is "one hundred million, two thousand, thirteen".