320032013100 has 72 divisors (see below), whose sum is σ = 926061769920. Its totient is φ = 85332425280.

The previous prime is 320032013071. The next prime is 320032013107. The reversal of 320032013100 is 1310230023.

320032013100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×320032013100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320032013100.

It is not an unprimeable number, because it can be changed into a prime (320032013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2903599 + ... + 3011801.

Almost surely, 2^320032013100 is an apocalyptic number.

320032013100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320032013100 is an abundant number, since it is smaller than the sum of its proper divisors (606029756820).

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

320032013100 is a wasteful number, since it uses less digits than its factorization.

320032013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118079 (or 118072 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 320032013100 its reverse (1310230023), we get a palindrome (321342243123).

The spelling of 320032013100 in words is "three hundred twenty billion, thirty-two million, thirteen thousand, one hundred".