120022022313 has 6 divisors (see below), whose sum is σ = 173365143354. Its totient is φ = 80014681536.

The previous prime is 120022022297. The next prime is 120022022353. The reversal of 120022022313 is 313220220021.

It can be written as a sum of positive squares in only one way, i.e., 100141868304 + 19880154009 = 316452^2 + 140997^2 .

It is not a de Polignac number, because 120022022313 - 2⁴ = 120022022297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120022022353) 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 in 5 ways as a sum of consecutive naturals, for example, 6667890120 + ... + 6667890137.

It is an arithmetic number, because the mean of its divisors is an integer number (28894190559).

Almost surely, 2^120022022313 is an apocalyptic number.

It is an amenable number.

120022022313 is a deficient number, since it is larger than the sum of its proper divisors (53343121041).

120022022313 is a wasteful number, since it uses less digits than its factorization.

120022022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335780263 (or 13335780260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120022022313 its reverse (313220220021), we get a palindrome (433242242334).

The spelling of 120022022313 in words is "one hundred twenty billion, twenty-two million, twenty-two thousand, three hundred thirteen".