221223131257 has 2 divisors, whose sum is σ = 221223131258. Its totient is φ = 221223131256.

The previous prime is 221223131117. The next prime is 221223131293. The reversal of 221223131257 is 752131322122.

221223131257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219004344441 + 2218786816 = 467979^2 + 47104^2 .

It is a cyclic number.

It is not a de Polignac number, because 221223131257 - 2¹¹ = 221223129209 is a prime.

It is not a weakly prime, because it can be changed into another prime (221223131057) 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, 110611565628 + 110611565629.

It is an arithmetic number, because the mean of its divisors is an integer number (110611565629).

Almost surely, 2^221223131257 is an apocalyptic number.

It is an amenable number.

221223131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223131257 is an equidigital number, since it uses as much as digits as its factorization.

221223131257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

Adding to 221223131257 its reverse (752131322122), we get a palindrome (973354453379).

The spelling of 221223131257 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred fifty-seven".