320322034113100 has 144 divisors (see below), whose sum is σ = 710493900480000. Its totient is φ = 125314985088000.

The previous prime is 320322034113023. The next prime is 320322034113157. The reversal of 320322034113100 is 1311430223023.

It is a super-2 number, since 2×320322034113100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10763856021 + ... + 10763885779.

It is an arithmetic number, because the mean of its divisors is an integer number (4933985420000).

Almost surely, 2^{320322034113100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320322034113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355246950240000).

320322034113100 is an abundant number, since it is smaller than the sum of its proper divisors (390171866366900).

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

320322034113100 is a wasteful number, since it uses less digits than its factorization.

320322034113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39764 (or 39757 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 320322034113100 its reverse (1311430223023), we get a palindrome (321633464336123).

The spelling of 320322034113100 in words is "three hundred twenty trillion, three hundred twenty-two billion, thirty-four million, one hundred thirteen thousand, one hundred".