320032113312 has 96 divisors (see below), whose sum is σ = 863250200064. Its totient is φ = 103738752000.

The previous prime is 320032113301. The next prime is 320032113397. The reversal of 320032113312 is 213311230023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×320032113312³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6906862 + ... + 6953042.

It is an arithmetic number, because the mean of its divisors is an integer number (8992189584).

Almost surely, 2^320032113312 is an apocalyptic number.

320032113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320032113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431625100032).

320032113312 is an abundant number, since it is smaller than the sum of its proper divisors (543218086752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320032113312 is a wasteful number, since it uses less digits than its factorization.

320032113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48182 (or 48174 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320032113312 its reverse (213311230023), we get a palindrome (533343343335).

The spelling of 320032113312 in words is "three hundred twenty billion, thirty-two million, one hundred thirteen thousand, three hundred twelve".