120433313 has 32 divisors (see below), whose sum is σ = 168763392. Its totient is φ = 82843200.

The previous prime is 120433307. The next prime is 120433319. The reversal of 120433313 is 313334021.

It is an interprime number because it is at equal distance from previous prime (120433307) and next prime (120433319).

It is not a de Polignac number, because 120433313 - 2¹⁰ = 120432289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120433319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20408 + ... + 25638.

It is an arithmetic number, because the mean of its divisors is an integer number (5273856).

Almost surely, 2^120433313 is an apocalyptic number.

120433313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120433313 is a deficient number, since it is larger than the sum of its proper divisors (48330079).

120433313 is a wasteful number, since it uses less digits than its factorization.

120433313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 120433313 is about 10974.2112700640. The cubic root of 120433313 is about 493.8353915656.

Adding to 120433313 its reverse (313334021), we get a palindrome (433767334).

The spelling of 120433313 in words is "one hundred twenty million, four hundred thirty-three thousand, three hundred thirteen".