120131220133217 has 2 divisors, whose sum is σ = 120131220133218. Its totient is φ = 120131220133216.

The previous prime is 120131220133153. The next prime is 120131220133241. The reversal of 120131220133217 is 712331022131021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114325621443856 + 5805598689361 = 10692316^2 + 2409481^2 .

It is a cyclic number.

It is not a de Polignac number, because 120131220133217 - 2⁶ = 120131220133153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120131220133217.

It is not a weakly prime, because it can be changed into another prime (120131220133417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60065610066608 + 60065610066609.

It is an arithmetic number, because the mean of its divisors is an integer number (60065610066609).

Almost surely, 2^{120131220133217} is an apocalyptic number.

It is an amenable number.

120131220133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

120131220133217 is an equidigital number, since it uses as much as digits as its factorization.

120131220133217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 120131220133217 its reverse (712331022131021), we get a palindrome (832462242264238).

The spelling of 120131220133217 in words is "one hundred twenty trillion, one hundred thirty-one billion, two hundred twenty million, one hundred thirty-three thousand, two hundred seventeen".