120133202331021 has 32 divisors (see below), whose sum is σ = 180280616017920. Its totient is φ = 71114791975920.

The previous prime is 120133202330983. The next prime is 120133202331073.

120133202331021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120133202331021 - 2⁹ = 120133202330509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120133202330982 and 120133202331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133202311021) 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 31 ways as a sum of consecutive naturals, for example, 349664941 + ... + 350008338.

It is an arithmetic number, because the mean of its divisors is an integer number (5633769250560).

Almost surely, 2^{120133202331021} is an apocalyptic number.

120133202331021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120133202331021 is a deficient number, since it is larger than the sum of its proper divisors (60147413686899).

120133202331021 is an equidigital number, since it uses as much as digits as its factorization.

120133202331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699673358 (or 699673336 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 12013320 and 2331021, that added together give a palindrome (14344341).

The spelling of 120133202331021 in words is "one hundred twenty trillion, one hundred thirty-three billion, two hundred two million, three hundred thirty-one thousand, twenty-one".