120033313301 has 16 divisors (see below), whose sum is σ = 138342954240. Its totient is φ = 103116713280.

The previous prime is 120033313289. The next prime is 120033313319. The reversal of 120033313301 is 103313330021.

It is a cyclic number.

It is not a de Polignac number, because 120033313301 - 2²⁶ = 119966204437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033313331) 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 15 ways as a sum of consecutive naturals, for example, 3987986 + ... + 4017971.

It is an arithmetic number, because the mean of its divisors is an integer number (8646434640).

Almost surely, 2^120033313301 is an apocalyptic number.

120033313301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120033313301 is a deficient number, since it is larger than the sum of its proper divisors (18309640939).

120033313301 is a wasteful number, since it uses less digits than its factorization.

120033313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006044.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 120033313301 its reverse (103313330021), we get a palindrome (223346643322).

It can be divided in two parts, 120033 and 313301, that added together give a palindrome (433334).

The spelling of 120033313301 in words is "one hundred twenty billion, thirty-three million, three hundred thirteen thousand, three hundred one".