320300321130000 has 600 divisors, whose sum is σ = 1125734892522240. Its totient is φ = 84986928000000.

The previous prime is 320300321129989. The next prime is 320300321130007. The reversal of 320300321130000 is 31123003023.

320300321130000 is a `hidden beast` number, since 3 + 20 + 300 + 32 + 11 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×320300321130000² (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 not an unprimeable number, because it can be changed into a prime (320300321130007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65247567546 + ... + 65247572454.

Almost surely, 2^{320300321130000} is an apocalyptic number.

320300321130000 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 320300321130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562867446261120).

320300321130000 is an abundant number, since it is smaller than the sum of its proper divisors (805434571392240).

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

320300321130000 is a wasteful number, since it uses less digits than its factorization.

320300321130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8393 counting only the distinct ones).

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

Adding to 320300321130000 its reverse (31123003023), we get a palindrome (320331444133023).

The spelling of 320300321130000 in words is "three hundred twenty trillion, three hundred billion, three hundred twenty-one million, one hundred thirty thousand".