20000100013 has 2 divisors, whose sum is σ = 20000100014. Its totient is φ = 20000100012.

The previous prime is 20000099969. The next prime is 20000100019. The reversal of 20000100013 is 31000100002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19869157764 + 130942249 = 140958^2 + 11443^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000100013 - 2⁹ = 20000099501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20000099969 and 20000100005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000050006 + 10000050007.

It is an arithmetic number, because the mean of its divisors is an integer number (10000050007).

Almost surely, 2^20000100013 is an apocalyptic number.

It is an amenable number.

20000100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000100013 is an equidigital number, since it uses as much as digits as its factorization.

20000100013 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.

Adding to 20000100013 its reverse (31000100002), we get a palindrome (51000200015).

The spelling of 20000100013 in words is "twenty billion, one hundred thousand, thirteen".