220221101122013 has 2 divisors, whose sum is σ = 220221101122014. Its totient is φ = 220221101122012.

The previous prime is 220221101122007. The next prime is 220221101122051. The reversal of 220221101122013 is 310221101122022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220205803884889 + 15297237124 = 14839333^2 + 123682^2 .

It is a cyclic number.

It is not a de Polignac number, because 220221101122013 - 2⁸ = 220221101121757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220221101122003) 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, 110110550561006 + 110110550561007.

It is an arithmetic number, because the mean of its divisors is an integer number (110110550561007).

Almost surely, 2^{220221101122013} is an apocalyptic number.

It is an amenable number.

220221101122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221101122013 is an equidigital number, since it uses as much as digits as its factorization.

220221101122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 220221101122013 its reverse (310221101122022), we get a palindrome (530442202244035).

Subtracting 220221101122013 from its reverse (310221101122022), we obtain a palindrome (90000000000009).

The spelling of 220221101122013 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, thirteen".