21223110121013 has 2 divisors, whose sum is σ = 21223110121014. Its totient is φ = 21223110121012.

The previous prime is 21223110120967. The next prime is 21223110121033. The reversal of 21223110121013 is 31012101132212.

It is an a-pointer prime, because the next prime (21223110121033) can be obtained adding 21223110121013 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15944544135844 + 5278565985169 = 3993062^2 + 2297513^2 .

It is a cyclic number.

It is not a de Polignac number, because 21223110121013 - 2¹² = 21223110116917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21223110121033) 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, 10611555060506 + 10611555060507.

It is an arithmetic number, because the mean of its divisors is an integer number (10611555060507).

Almost surely, 2^{21223110121013} is an apocalyptic number.

It is an amenable number.

21223110121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21223110121013 is an equidigital number, since it uses as much as digits as its factorization.

21223110121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21223110121013 its reverse (31012101132212), we get a palindrome (52235211253225).

The spelling of 21223110121013 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred ten million, one hundred twenty-one thousand, thirteen".