320310001300320 has 144 divisors (see below), whose sum is σ = 1093076517969072. Its totient is φ = 85414543856640.

The previous prime is 320310001300313. The next prime is 320310001300321. The reversal of 320310001300320 is 23003100013023.

320310001300320 is a `hidden beast` number, since 3 + 2 + 0 + 310 + 0 + 0 + 1 + 30 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×320310001300320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320310001300293 and 320310001300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320310001300321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83929959 + ... + 87663321.

It is an arithmetic number, because the mean of its divisors is an integer number (7590809152563).

Almost surely, 2^{320310001300320} is an apocalyptic number.

320310001300320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320310001300320 is an abundant number, since it is smaller than the sum of its proper divisors (772766516668752).

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

320310001300320 is a wasteful number, since it uses less digits than its factorization.

320310001300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792965 (or 3792954 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 320310001300320 its reverse (23003100013023), we get a palindrome (343313101313343).

It can be divided in two parts, 3203100013003 and 20, that added together give a palindrome (3203100013023).

The spelling of 320310001300320 in words is "three hundred twenty trillion, three hundred ten billion, one million, three hundred thousand, three hundred twenty".