1223312133257 has 2 divisors, whose sum is σ = 1223312133258. Its totient is φ = 1223312133256.

The previous prime is 1223312133217. The next prime is 1223312133331. The reversal of 1223312133257 is 7523312133221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 816088197376 + 407223935881 = 903376^2 + 638141^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223312133257 - 2¹⁰ = 1223312132233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1223312133217) 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, 611656066628 + 611656066629.

It is an arithmetic number, because the mean of its divisors is an integer number (611656066629).

Almost surely, 2^{1223312133257} is an apocalyptic number.

It is an amenable number.

1223312133257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223312133257 is an equidigital number, since it uses as much as digits as its factorization.

1223312133257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 35.

Adding to 1223312133257 its reverse (7523312133221), we get a palindrome (8746624266478).

The spelling of 1223312133257 in words is "one trillion, two hundred twenty-three billion, three hundred twelve million, one hundred thirty-three thousand, two hundred fifty-seven".