126133331221 has 2 divisors, whose sum is σ = 126133331222. Its totient is φ = 126133331220.

The previous prime is 126133331209. The next prime is 126133331227. The reversal of 126133331221 is 122133331621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83890750321 + 42242580900 = 289639^2 + 205530^2 .

It is a cyclic number.

It is not a de Polignac number, because 126133331221 - 2¹⁵ = 126133298453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126133331221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126133331227) 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, 63066665610 + 63066665611.

It is an arithmetic number, because the mean of its divisors is an integer number (63066665611).

Almost surely, 2^126133331221 is an apocalyptic number.

It is an amenable number.

126133331221 is a deficient number, since it is larger than the sum of its proper divisors (1).

126133331221 is an equidigital number, since it uses as much as digits as its factorization.

126133331221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

Adding to 126133331221 its reverse (122133331621), we get a palindrome (248266662842).

The spelling of 126133331221 in words is "one hundred twenty-six billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty-one".