120133323133013 has 16 divisors (see below), whose sum is σ = 124773230736000. Its totient is φ = 115526590872000.

The previous prime is 120133323133007. The next prime is 120133323133039. The reversal of 120133323133013 is 310331323331021.

It is a cyclic number.

It is not a de Polignac number, because 120133323133013 - 2²⁶ = 120133256024149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133323133913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533459963 + ... + 533685111.

It is an arithmetic number, because the mean of its divisors is an integer number (7798326921000).

Almost surely, 2^{120133323133013} is an apocalyptic number.

It is an amenable number.

120133323133013 is a deficient number, since it is larger than the sum of its proper divisors (4639907602987).

120133323133013 is a wasteful number, since it uses less digits than its factorization.

120133323133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298732.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 120133323133013 its reverse (310331323331021), we get a palindrome (430464646464034).

The spelling of 120133323133013 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred twenty-three million, one hundred thirty-three thousand, thirteen".