21201012000013 has 2 divisors, whose sum is σ = 21201012000014. Its totient is φ = 21201012000012.

The previous prime is 21201012000011. The next prime is 21201012000067. The reversal of 21201012000013 is 31000021010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11667874093929 + 9533137906084 = 3415827^2 + 3087578^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201012000013 - 2¹ = 21201012000011 is a prime.

Together with 21201012000011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 21201011999957 and 21201012000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21201012000011) 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, 10600506000006 + 10600506000007.

It is an arithmetic number, because the mean of its divisors is an integer number (10600506000007).

Almost surely, 2^{21201012000013} is an apocalyptic number.

It is an amenable number.

21201012000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201012000013 is an equidigital number, since it uses as much as digits as its factorization.

21201012000013 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 13.

Adding to 21201012000013 its reverse (31000021010212), we get a palindrome (52201033010225).

The spelling of 21201012000013 in words is "twenty-one trillion, two hundred one billion, twelve million, thirteen", and thus it is an aban number.