2300100013 has 2 divisors, whose sum is σ = 2300100014. Its totient is φ = 2300100012.

The previous prime is 2300100001. The next prime is 2300100199. The reversal of 2300100013 is 3100010032.

2300100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2204020809 + 96079204 = 46947^2 + 9802^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300100013 - 2¹⁷ = 2299968941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2300100713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150050006 + 1150050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1150050007).

Almost surely, 2^2300100013 is an apocalyptic number.

It is an amenable number.

2300100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300100013 is an equidigital number, since it uses as much as digits as its factorization.

2300100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2300100013 is about 47959.3579293968. The cubic root of 2300100013 is about 1320.0252545291.

Adding to 2300100013 its reverse (3100010032), we get a palindrome (5400110045).

The spelling of 2300100013 in words is "two billion, three hundred million, one hundred thousand, thirteen".