120033313 has 2 divisors, whose sum is σ = 120033314. Its totient is φ = 120033312.

The previous prime is 120033269. The next prime is 120033323. The reversal of 120033313 is 313330021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104611984 + 15421329 = 10228^2 + 3927^2 .

It is a cyclic number.

It is not a de Polignac number, because 120033313 - 2¹³ = 120025121 is a prime.

It is not a weakly prime, because it can be changed into another prime (120033323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60016656 + 60016657.

It is an arithmetic number, because the mean of its divisors is an integer number (60016657).

Almost surely, 2^120033313 is an apocalyptic number.

It is an amenable number.

120033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

120033313 is an equidigital number, since it uses as much as digits as its factorization.

120033313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 120033313 is about 10955.9715680537. The cubic root of 120033313 is about 493.2880533781.

Adding to 120033313 its reverse (313330021), we get a palindrome (433363334).

The spelling of 120033313 in words is "one hundred twenty million, thirty-three thousand, three hundred thirteen".