120313305 has 48 divisors (see below), whose sum is σ = 239690880. Its totient is φ = 54687744.

The previous prime is 120313283. The next prime is 120313309. The reversal of 120313305 is 503313021.

It is not a de Polignac number, because 120313305 - 2⁵ = 120313273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120313309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59806 + ... + 61784.

It is an arithmetic number, because the mean of its divisors is an integer number (4993560).

Almost surely, 2^120313305 is an apocalyptic number.

120313305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120313305 is a deficient number, since it is larger than the sum of its proper divisors (119377575).

120313305 is a wasteful number, since it uses less digits than its factorization.

120313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 120313305 is about 10968.7421794844. The cubic root of 120313305 is about 493.6713065848.

Adding to 120313305 its reverse (503313021), we get a palindrome (623626326).

The spelling of 120313305 in words is "one hundred twenty million, three hundred thirteen thousand, three hundred five".