320831182121121 has 243 divisors, whose sum is σ = 578575282663443. Its totient is φ = 170783625841920.

The previous prime is 320831182121083. The next prime is 320831182121179. The reversal of 320831182121121 is 121121281138023.

The square root of 320831182121121 is 17911761.

It is a perfect power (a square), and thus also a powerful number.

320831182121121 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 311 + 8 + 212 + 1 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249782062205025 + 71049119916096 = 15804495^2 + 8429064^2 .

It is not a de Polignac number, because 320831182121121 - 2⁹ = 320831182120609 is a prime.

It is a super-2 number, since 2×320831182121121² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (320831182121521) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 837679326496 + ... + 837679326878.

Almost surely, 2^{320831182121121} is an apocalyptic number.

320831182121121 is the 17911761-st square number.

320831182121121 is the 8955881-st centered octagonal number.

It is an amenable number.

320831182121121 is a deficient number, since it is larger than the sum of its proper divisors (257744100542322).

320831182121121 is an equidigital number, since it uses as much as digits as its factorization.

320831182121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 320831182121121 in words is "three hundred twenty trillion, eight hundred thirty-one billion, one hundred eighty-two million, one hundred twenty-one thousand, one hundred twenty-one".