21212000110013 has 2 divisors, whose sum is σ = 21212000110014. Its totient is φ = 21212000110012.

The previous prime is 21212000109991. The next prime is 21212000110031. The reversal of 21212000110013 is 31001100021212.

Together with next prime (21212000110031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15111707714884 + 6100292395129 = 3887378^2 + 2469877^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212000110013 - 2²⁰ = 21211999061437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21212000110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21212000170013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606000055006 + 10606000055007.

It is an arithmetic number, because the mean of its divisors is an integer number (10606000055007).

Almost surely, 2^{21212000110013} is an apocalyptic number.

It is an amenable number.

21212000110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212000110013 is an equidigital number, since it uses as much as digits as its factorization.

21212000110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21212000110013 its reverse (31001100021212), we get a palindrome (52213100131225).

The spelling of 21212000110013 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten thousand, thirteen".