320310320100 has 144 divisors (see below), whose sum is σ = 976516665600. Its totient is φ = 80839624320.

The previous prime is 320310320069. The next prime is 320310320221. The reversal of 320310320100 is 1023013023.

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 320310320100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5780727 + ... + 5835873.

Almost surely, 2^320310320100 is an apocalyptic number.

320310320100 is a gapful number since it is divisible by the number (30) 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 320310320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488258332800).

320310320100 is an abundant number, since it is smaller than the sum of its proper divisors (656206345500).

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

320310320100 is a wasteful number, since it uses less digits than its factorization.

320310320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56202 (or 56195 counting only the distinct ones).

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

Adding to 320310320100 its reverse (1023013023), we get a palindrome (321333333123).

The spelling of 320310320100 in words is "three hundred twenty billion, three hundred ten million, three hundred twenty thousand, one hundred".