120233103320313 has 12 divisors (see below), whose sum is σ = 174937702643028. Its totient is φ = 79570326284160.

The previous prime is 120233103320287. The next prime is 120233103320347. The reversal of 120233103320313 is 313023301332021.

120233103320313 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 3 + 10 + 332 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96272832144384 + 23960271175929 = 9811872^2 + 4894923^2 .

It is not a de Polignac number, because 120233103320313 - 2³⁰ = 120232029578489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120233103320353) 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 in 11 ways as a sum of consecutive naturals, for example, 48756326148 + ... + 48756328613.

It is an arithmetic number, because the mean of its divisors is an integer number (14578141886919).

Almost surely, 2^{120233103320313} is an apocalyptic number.

It is an amenable number.

120233103320313 is a deficient number, since it is larger than the sum of its proper divisors (54704599322715).

120233103320313 is a wasteful number, since it uses less digits than its factorization.

120233103320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97512654904 (or 97512654901 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 120233103320313 its reverse (313023301332021), we get a palindrome (433256404652334).

The spelling of 120233103320313 in words is "one hundred twenty trillion, two hundred thirty-three billion, one hundred three million, three hundred twenty thousand, three hundred thirteen".