120031213133 has 8 divisors (see below), whose sum is σ = 129267087768. Its totient is φ = 110795724864.

The previous prime is 120031213091. The next prime is 120031213151. The reversal of 120031213133 is 331312130021.

It can be written as a sum of positive squares in 4 ways, for example, as 46656864004 + 73374349129 = 216002^2 + 270877^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120031213133 - 2⁶ = 120031213069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031213033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075391 + ... + 1181747.

It is an arithmetic number, because the mean of its divisors is an integer number (16158385971).

Almost surely, 2^120031213133 is an apocalyptic number.

120031213133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120031213133 is a deficient number, since it is larger than the sum of its proper divisors (9235874635).

120031213133 is a wasteful number, since it uses less digits than its factorization.

120031213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193183.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120031213133 its reverse (331312130021), we get a palindrome (451343343154).

The spelling of 120031213133 in words is "one hundred twenty billion, thirty-one million, two hundred thirteen thousand, one hundred thirty-three".