120142424324213 has 2 divisors, whose sum is σ = 120142424324214. Its totient is φ = 120142424324212.

The previous prime is 120142424324119. The next prime is 120142424324261. The reversal of 120142424324213 is 312423424241021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120140736922129 + 1687402084 = 10960873^2 + 41078^2 .

It is a cyclic number.

It is not a de Polignac number, because 120142424324213 - 2²⁸ = 120142155888757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120142424327213) 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, 60071212162106 + 60071212162107.

It is an arithmetic number, because the mean of its divisors is an integer number (60071212162107).

Almost surely, 2^{120142424324213} is an apocalyptic number.

It is an amenable number.

120142424324213 is a deficient number, since it is larger than the sum of its proper divisors (1).

120142424324213 is an equidigital number, since it uses as much as digits as its factorization.

120142424324213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 120142424324213 its reverse (312423424241021), we get a palindrome (432565848565234).

The spelling of 120142424324213 in words is "one hundred twenty trillion, one hundred forty-two billion, four hundred twenty-four million, three hundred twenty-four thousand, two hundred thirteen".