210012201000013 has 2 divisors, whose sum is σ = 210012201000014. Its totient is φ = 210012201000012.

The previous prime is 210012201000011. The next prime is 210012201000053. The reversal of 210012201000013 is 310000102210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161911831393764 + 48100369606249 = 12724458^2 + 6935443^2 .

It is a cyclic number.

It is not a de Polignac number, because 210012201000013 - 2¹ = 210012201000011 is a prime.

It is a super-2 number, since 2×210012201000013² (a number of 29 digits) contains 22 as substring.

Together with 210012201000011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 210012200999957 and 210012201000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210012201000011) 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, 105006100500006 + 105006100500007.

It is an arithmetic number, because the mean of its divisors is an integer number (105006100500007).

Almost surely, 2^{210012201000013} is an apocalyptic number.

It is an amenable number.

210012201000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210012201000013 is an equidigital number, since it uses as much as digits as its factorization.

210012201000013 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 210012201000013 its reverse (310000102210012), we get a palindrome (520012303210025).

The spelling of 210012201000013 in words is "two hundred ten trillion, twelve billion, two hundred one million, thirteen", and thus it is an aban number.