120013233023133 has 48 divisors (see below), whose sum is σ = 174210227990656. Its totient is φ = 79613484871680.

The previous prime is 120013233023113. The next prime is 120013233023143. The reversal of 120013233023133 is 331320332310021.

120013233023133 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 323 + 302 + 3 + 1 + 33 = 666.

It is not a de Polignac number, because 120013233023133 - 2¹⁷ = 120013232892061 is a prime.

It is a super-2 number, since 2×120013233023133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120013233023097 and 120013233023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013233023113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26592781485 + ... + 26592785997.

Almost surely, 2^{120013233023133} is an apocalyptic number.

It is an amenable number.

120013233023133 is a deficient number, since it is larger than the sum of its proper divisors (54196994967523).

120013233023133 is a wasteful number, since it uses less digits than its factorization.

120013233023133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11794 (or 11791 counting only the distinct ones).

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

Adding to 120013233023133 its reverse (331320332310021), we get a palindrome (451333565333154).

The spelling of 120013233023133 in words is "one hundred twenty trillion, thirteen billion, two hundred thirty-three million, twenty-three thousand, one hundred thirty-three".