10211211211013 has 2 divisors, whose sum is σ = 10211211211014. Its totient is φ = 10211211211012.

The previous prime is 10211211211007. The next prime is 10211211211043. The reversal of 10211211211013 is 31011211211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7201617717889 + 3009593493124 = 2683583^2 + 1734818^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211211211013 - 2²⁶ = 10211144102149 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 = 10211211210982 and 10211211211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211211211043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605605506 + 5105605605507.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605605507).

Almost surely, 2^{10211211211013} is an apocalyptic number.

It is an amenable number.

10211211211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211211211013 is an equidigital number, since it uses as much as digits as its factorization.

10211211211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10211211211013 its reverse (31011211211201), we get a palindrome (41222422422214).

The spelling of 10211211211013 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, two hundred eleven thousand, thirteen".