120013031333221 has 8 divisors (see below), whose sum is σ = 130112217761400. Its totient is φ = 110037761303232.

The previous prime is 120013031333207. The next prime is 120013031333227. The reversal of 120013031333221 is 122333130310021.

It can be written as a sum of positive squares in 4 ways, for example, as 6615770428996 + 113397260904225 = 2572114^2 + 10648815^2 .

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 120013031333221 - 2²⁵ = 120012997778789 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 (120013031333227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30979097530 + ... + 30979101403.

It is an arithmetic number, because the mean of its divisors is an integer number (16264027220175).

Almost surely, 2^{120013031333221} is an apocalyptic number.

It is an amenable number.

120013031333221 is a deficient number, since it is larger than the sum of its proper divisors (10099186428179).

120013031333221 is a wasteful number, since it uses less digits than its factorization.

120013031333221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61958199095.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 120013031333221 its reverse (122333130310021), we get a palindrome (242346161643242).

The spelling of 120013031333221 in words is "one hundred twenty trillion, thirteen billion, thirty-one million, three hundred thirty-three thousand, two hundred twenty-one".