21202132210013 has 2 divisors, whose sum is σ = 21202132210014. Its totient is φ = 21202132210012.

The previous prime is 21202132209967. The next prime is 21202132210019. The reversal of 21202132210013 is 31001223120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20064468918244 + 1137663291769 = 4479338^2 + 1066613^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202132210013 - 2⁶ = 21202132209949 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 (21202132210019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601066105006 + 10601066105007.

It is an arithmetic number, because the mean of its divisors is an integer number (10601066105007).

Almost surely, 2^{21202132210013} is an apocalyptic number.

It is an amenable number.

21202132210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202132210013 is an equidigital number, since it uses as much as digits as its factorization.

21202132210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21202132210013 its reverse (31001223120212), we get a palindrome (52203355330225).

The spelling of 21202132210013 in words is "twenty-one trillion, two hundred two billion, one hundred thirty-two million, two hundred ten thousand, thirteen".