220113333111013 has 2 divisors, whose sum is σ = 220113333111014. Its totient is φ = 220113333111012.

The previous prime is 220113333110947. The next prime is 220113333111017. The reversal of 220113333111013 is 310111333311022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216753125161444 + 3360207949569 = 14722538^2 + 1833087^2 .

It is a cyclic number.

It is not a de Polignac number, because 220113333111013 - 2⁴⁵ = 184928961022181 is a prime.

It is a super-3 number, since 3×220113333111013³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220113333111017) 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, 110056666555506 + 110056666555507.

It is an arithmetic number, because the mean of its divisors is an integer number (110056666555507).

Almost surely, 2^{220113333111013} is an apocalyptic number.

It is an amenable number.

220113333111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220113333111013 is an equidigital number, since it uses as much as digits as its factorization.

220113333111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 220113333111013 its reverse (310111333311022), we get a palindrome (530224666422035).

The spelling of 220113333111013 in words is "two hundred twenty trillion, one hundred thirteen billion, three hundred thirty-three million, one hundred eleven thousand, thirteen".