120013320123333 has 96 divisors (see below), whose sum is σ = 228392879769600. Its totient is φ = 58955479820928.

The previous prime is 120013320123317. The next prime is 120013320123341. The reversal of 120013320123333 is 333321023310021.

120013320123333 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 3 + 320 + 1 + 2 + 3 + 333 = 666.

It is not a de Polignac number, because 120013320123333 - 2⁴ = 120013320123317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120013320123297 and 120013320123306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013320123353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64441585 + ... + 66277782.

It is an arithmetic number, because the mean of its divisors is an integer number (2379092497600).

Almost surely, 2^{120013320123333} is an apocalyptic number.

120013320123333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120013320123333 is a deficient number, since it is larger than the sum of its proper divisors (108379559646267).

120013320123333 is a wasteful number, since it uses less digits than its factorization.

120013320123333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130719471 (or 130719468 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 120013320123333 its reverse (333321023310021), we get a palindrome (453334343433354).

The spelling of 120013320123333 in words is "one hundred twenty trillion, thirteen billion, three hundred twenty million, one hundred twenty-three thousand, three hundred thirty-three".