120224210410313 has 2 divisors, whose sum is σ = 120224210410314. Its totient is φ = 120224210410312.

The previous prime is 120224210410261. The next prime is 120224210410351. The reversal of 120224210410313 is 313014012422021.

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., 118742800104889 + 1481410305424 = 10896917^2 + 1217132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120224210410313 is a prime.

It is not a weakly prime, because it can be changed into another prime (120224210710313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60112105205156 + 60112105205157.

It is an arithmetic number, because the mean of its divisors is an integer number (60112105205157).

Almost surely, 2^{120224210410313} is an apocalyptic number.

It is an amenable number.

120224210410313 is a deficient number, since it is larger than the sum of its proper divisors (1).

120224210410313 is an equidigital number, since it uses as much as digits as its factorization.

120224210410313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 120224210410313 its reverse (313014012422021), we get a palindrome (433238222832334).

The spelling of 120224210410313 in words is "one hundred twenty trillion, two hundred twenty-four billion, two hundred ten million, four hundred ten thousand, three hundred thirteen".