2100510305213 has 2 divisors, whose sum is σ = 2100510305214. Its totient is φ = 2100510305212.

The previous prime is 2100510305209. The next prime is 2100510305237. The reversal of 2100510305213 is 3125030150012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1650025028089 + 450485277124 = 1284533^2 + 671182^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100510305213 - 2² = 2100510305209 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100510302213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050255152606 + 1050255152607.

It is an arithmetic number, because the mean of its divisors is an integer number (1050255152607).

Almost surely, 2^{2100510305213} is an apocalyptic number.

It is an amenable number.

2100510305213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100510305213 is an equidigital number, since it uses as much as digits as its factorization.

2100510305213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 2100510305213 its reverse (3125030150012), we get a palindrome (5225540455225).

The spelling of 2100510305213 in words is "two trillion, one hundred billion, five hundred ten million, three hundred five thousand, two hundred thirteen".