320101110332113 has 24 divisors (see below), whose sum is σ = 364069854608040. Its totient is φ = 280896604665600.

The previous prime is 320101110332089. The next prime is 320101110332117. The reversal of 320101110332113 is 311233011101023.

It can be written as a sum of positive squares in 4 ways, for example, as 66551283462609 + 253549826869504 = 8157897^2 + 15923248^2 .

It is not a de Polignac number, because 320101110332113 - 2¹³ = 320101110323921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320101110332117) 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 23 ways as a sum of consecutive naturals, for example, 2766381 + ... + 25452997.

It is an arithmetic number, because the mean of its divisors is an integer number (15169577275335).

Almost surely, 2^{320101110332113} is an apocalyptic number.

It is an amenable number.

320101110332113 is a deficient number, since it is larger than the sum of its proper divisors (43968744275927).

320101110332113 is a wasteful number, since it uses less digits than its factorization.

320101110332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690689 (or 22690678 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 320101110332113 its reverse (311233011101023), we get a palindrome (631334121433136).

The spelling of 320101110332113 in words is "three hundred twenty trillion, one hundred one billion, one hundred ten million, three hundred thirty-two thousand, one hundred thirteen".