2210000100013 has 2 divisors, whose sum is σ = 2210000100014. Its totient is φ = 2210000100012.

The previous prime is 2210000099969. The next prime is 2210000100019. The reversal of 2210000100013 is 3100010000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1113250781449 + 1096749318564 = 1055107^2 + 1047258^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210000100013 - 2²⁹ = 2209463229101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210000100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105000050006 + 1105000050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1105000050007).

Almost surely, 2^{2210000100013} is an apocalyptic number.

It is an amenable number.

2210000100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210000100013 is an equidigital number, since it uses as much as digits as its factorization.

2210000100013 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 10.

Adding to 2210000100013 its reverse (3100010000122), we get a palindrome (5310010100135).

The spelling of 2210000100013 in words is "two trillion, two hundred ten billion, one hundred thousand, thirteen".