120331444133021 has 32 divisors (see below), whose sum is σ = 138114585789696. Its totient is φ = 104632667832000.

The previous prime is 120331444133011. The next prime is 120331444133063.

120331444133021 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-120331444133021 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 (120331444133011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668892871 + ... + 1668964971.

It is an arithmetic number, because the mean of its divisors is an integer number (4316080805928).

Almost surely, 2^{120331444133021} is an apocalyptic number.

120331444133021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120331444133021 is a deficient number, since it is larger than the sum of its proper divisors (17783141656675).

120331444133021 is an equidigital number, since it uses as much as digits as its factorization.

120331444133021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126674 (or 126652 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 120331444133021 in words is "one hundred twenty trillion, three hundred thirty-one billion, four hundred forty-four million, one hundred thirty-three thousand, twenty-one".