1223310105253 has 2 divisors, whose sum is σ = 1223310105254. Its totient is φ = 1223310105252.

The previous prime is 1223310105203. The next prime is 1223310105289. The reversal of 1223310105253 is 3525010133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 683411395969 + 539898709284 = 826687^2 + 734778^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223310105253 - 2³³ = 1214720170661 is a prime.

It is a super-2 number, since 2×1223310105253² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1223310105203) 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, 611655052626 + 611655052627.

It is an arithmetic number, because the mean of its divisors is an integer number (611655052627).

Almost surely, 2^{1223310105253} is an apocalyptic number.

It is an amenable number.

1223310105253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223310105253 is an equidigital number, since it uses as much as digits as its factorization.

1223310105253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 1223310105253 its reverse (3525010133221), we get a palindrome (4748320238474).

The spelling of 1223310105253 in words is "one trillion, two hundred twenty-three billion, three hundred ten million, one hundred five thousand, two hundred fifty-three".