2100211013 has 2 divisors, whose sum is σ = 2100211014. Its totient is φ = 2100211012.

The previous prime is 2100211007. The next prime is 2100211021. The reversal of 2100211013 is 3101120012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1235733409 + 864477604 = 35153^2 + 29402^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100211013 - 2⁴ = 2100210997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100210985 and 2100211003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100211073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050105506 + 1050105507.

It is an arithmetic number, because the mean of its divisors is an integer number (1050105507).

Almost surely, 2^2100211013 is an apocalyptic number.

It is an amenable number.

2100211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100211013 is an equidigital number, since it uses as much as digits as its factorization.

2100211013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2100211013 is about 45828.0592323088. The cubic root of 2100211013 is about 1280.6220554321.

Adding to 2100211013 its reverse (3101120012), we get a palindrome (5201331025).

The spelling of 2100211013 in words is "two billion, one hundred million, two hundred eleven thousand, thirteen".