120410213422313 has 2 divisors, whose sum is σ = 120410213422314. Its totient is φ = 120410213422312.

The previous prime is 120410213422267. The next prime is 120410213422337. The reversal of 120410213422313 is 313224312014021.

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., 115067606479849 + 5342606942464 = 10726957^2 + 2311408^2 .

It is a cyclic number.

It is not a de Polignac number, because 120410213422313 - 2³⁸ = 120135335515369 is a prime.

It is not a weakly prime, because it can be changed into another prime (120410213422363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60205106711156 + 60205106711157.

It is an arithmetic number, because the mean of its divisors is an integer number (60205106711157).

Almost surely, 2^{120410213422313} is an apocalyptic number.

It is an amenable number.

120410213422313 is a deficient number, since it is larger than the sum of its proper divisors (1).

120410213422313 is an equidigital number, since it uses as much as digits as its factorization.

120410213422313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 120410213422313 its reverse (313224312014021), we get a palindrome (433634525436334).

The spelling of 120410213422313 in words is "one hundred twenty trillion, four hundred ten billion, two hundred thirteen million, four hundred twenty-two thousand, three hundred thirteen".