120012032313 has 6 divisors (see below), whose sum is σ = 173350713354. Its totient is φ = 80008021536.

The previous prime is 120012032297. The next prime is 120012032363. The reversal of 120012032313 is 313230210021.

120012032313 is a `hidden beast` number, since 1 + 200 + 120 + 32 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83020049424 + 36991982889 = 288132^2 + 192333^2 .

It is not a de Polignac number, because 120012032313 - 2⁴ = 120012032297 is a prime.

It is a super-2 number, since 2×120012032313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120012032363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6667335120 + ... + 6667335137.

It is an arithmetic number, because the mean of its divisors is an integer number (28891785559).

Almost surely, 2^120012032313 is an apocalyptic number.

It is an amenable number.

120012032313 is a deficient number, since it is larger than the sum of its proper divisors (53338681041).

120012032313 is a wasteful number, since it uses less digits than its factorization.

120012032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334670263 (or 13334670260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120012032313 its reverse (313230210021), we get a palindrome (433242242334).

The spelling of 120012032313 in words is "one hundred twenty billion, twelve million, thirty-two thousand, three hundred thirteen".