21321113211113 has 2 divisors, whose sum is σ = 21321113211114. Its totient is φ = 21321113211112.

The previous prime is 21321113211091. The next prime is 21321113211119. The reversal of 21321113211113 is 31111231112312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17580343323664 + 3740769887449 = 4192892^2 + 1934107^2 .

It is a cyclic number.

It is not a de Polignac number, because 21321113211113 - 2¹⁸ = 21321112948969 is a prime.

It is a super-2 number, since 2×21321113211113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21321113211119) 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, 10660556605556 + 10660556605557.

It is an arithmetic number, because the mean of its divisors is an integer number (10660556605557).

Almost surely, 2^{21321113211113} is an apocalyptic number.

It is an amenable number.

21321113211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21321113211113 is an equidigital number, since it uses as much as digits as its factorization.

21321113211113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 23.

Adding to 21321113211113 its reverse (31111231112312), we get a palindrome (52432344323425).

The spelling of 21321113211113 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred thirteen million, two hundred eleven thousand, one hundred thirteen".