21323112121313 has 2 divisors, whose sum is σ = 21323112121314. Its totient is φ = 21323112121312.

The previous prime is 21323112121271. The next prime is 21323112121331. The reversal of 21323112121313 is 31312121132312.

Together with next prime (21323112121331) 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., 14279571284224 + 7043540837089 = 3778832^2 + 2653967^2 .

It is a cyclic number.

It is not a de Polignac number, because 21323112121313 - 2³² = 21318817154017 is a prime.

It is a super-2 number, since 2×21323112121313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21323112121343) 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, 10661556060656 + 10661556060657.

It is an arithmetic number, because the mean of its divisors is an integer number (10661556060657).

Almost surely, 2^{21323112121313} is an apocalyptic number.

It is an amenable number.

21323112121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21323112121313 is an equidigital number, since it uses as much as digits as its factorization.

21323112121313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

Adding to 21323112121313 its reverse (31312121132312), we get a palindrome (52635233253625).

The spelling of 21323112121313 in words is "twenty-one trillion, three hundred twenty-three billion, one hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".