600100013 has 2 divisors, whose sum is σ = 600100014. Its totient is φ = 600100012.

The previous prime is 600099979. The next prime is 600100027. The reversal of 600100013 is 310001006.

600100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 580713604 + 19386409 = 24098^2 + 4403^2 .

It is a cyclic number.

It is not a de Polignac number, because 600100013 - 2⁸ = 600099757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 600099967 and 600100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (600100063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300050006 + 300050007.

It is an arithmetic number, because the mean of its divisors is an integer number (300050007).

Almost surely, 2^600100013 is an apocalyptic number.

It is an amenable number.

600100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

600100013 is an equidigital number, since it uses as much as digits as its factorization.

600100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 600100013 is about 24496.9388495787. The cubic root of 600100013 is about 843.4795261599.

Adding to 600100013 its reverse (310001006), we get a palindrome (910101019).

The spelling of 600100013 in words is "six hundred million, one hundred thousand, thirteen".