120133312302113 has 6 divisors (see below), whose sum is σ = 132047359803282. Its totient is φ = 109212102092720.

The previous prime is 120133312302077. The next prime is 120133312302161. The reversal of 120133312302113 is 311203213331021.

It can be written as a sum of positive squares in only one way, i.e., 88536187340689 + 31597124961424 = 9409367^2 + 5621132^2 .

It is not a de Polignac number, because 120133312302113 - 2⁴² = 115735265791009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120133312352113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 496418645756 + ... + 496418645997.

It is an arithmetic number, because the mean of its divisors is an integer number (22007893300547).

Almost surely, 2^{120133312302113} is an apocalyptic number.

It is an amenable number.

120133312302113 is a deficient number, since it is larger than the sum of its proper divisors (11914047501169).

120133312302113 is an equidigital number, since it uses as much as digits as its factorization.

120133312302113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992837291775 (or 992837291764 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 120133312302113 its reverse (311203213331021), we get a palindrome (431336525633134).

The spelling of 120133312302113 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred twelve million, three hundred two thousand, one hundred thirteen".