320413140244301 has 32 divisors (see below), whose sum is σ = 350196193529952. Its totient is φ = 291373398650880.

The previous prime is 320413140244291. The next prime is 320413140244349. The reversal of 320413140244301 is 103442041314023.

It can be written as a sum of positive squares in 16 ways, for example, as 95692023772900 + 224721116471401 = 9782230^2 + 14990701^2 .

It is not a de Polignac number, because 320413140244301 - 2³⁸ = 320138262337357 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 (320413145244301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307691131 + ... + 4307765511.

It is an arithmetic number, because the mean of its divisors is an integer number (10943631047811).

Almost surely, 2^{320413140244301} is an apocalyptic number.

It is an amenable number.

320413140244301 is a deficient number, since it is larger than the sum of its proper divisors (29783053285651).

320413140244301 is a wasteful number, since it uses less digits than its factorization.

320413140244301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79713.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 320413140244301 its reverse (103442041314023), we get a palindrome (423855181558324).

The spelling of 320413140244301 in words is "three hundred twenty trillion, four hundred thirteen billion, one hundred forty million, two hundred forty-four thousand, three hundred one".