2000000100013 has 2 divisors, whose sum is σ = 2000000100014. Its totient is φ = 2000000100012.

The previous prime is 2000000099971. The next prime is 2000000100037. The reversal of 2000000100013 is 3100010000002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1952623353769 + 47376746244 = 1397363^2 + 217662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000000100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000000099969 and 2000000100005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000000100073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000000050006 + 1000000050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000000050007).

Almost surely, 2^{2000000100013} is an apocalyptic number.

It is an amenable number.

2000000100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000000100013 is an equidigital number, since it uses as much as digits as its factorization.

2000000100013 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 2000000100013 its reverse (3100010000002), we get a palindrome (5100010100015).

The spelling of 2000000100013 in words is "two trillion, one hundred thousand, thirteen".