120303313 has 8 divisors (see below), whose sum is σ = 129682728. Its totient is φ = 110941824.

The previous prime is 120303311. The next prime is 120303329. The reversal of 120303313 is 313303021.

It can be written as a sum of positive squares in 4 ways, for example, as 16507969 + 103795344 = 4063^2 + 10188^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120303313 - 2¹ = 120303311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120303311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11631 + ... + 19387.

It is an arithmetic number, because the mean of its divisors is an integer number (16210341).

Almost surely, 2^120303313 is an apocalyptic number.

120303313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120303313 is a deficient number, since it is larger than the sum of its proper divisors (9379415).

120303313 is a wasteful number, since it uses less digits than its factorization.

120303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 120303313 is about 10968.2866939190. The cubic root of 120303313 is about 493.6576397664.

Adding to 120303313 its reverse (313303021), we get a palindrome (433606334).

The spelling of 120303313 in words is "one hundred twenty million, three hundred three thousand, three hundred thirteen".