320311103013000 has 576 divisors, whose sum is σ = 1254636233435520. Its totient is φ = 73083453696000.

The previous prime is 320311103012981. The next prime is 320311103013023. The reversal of 320311103013000 is 310301113023.

It is a happy number.

320311103013000 is a `hidden beast` number, since 3 + 20 + 31 + 1 + 10 + 301 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23013309 + ... + 34208691.

It is an arithmetic number, because the mean of its divisors is an integer number (2178187905270).

Almost surely, 2^{320311103013000} is an apocalyptic number.

320311103013000 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 320311103013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627318116717760).

320311103013000 is an abundant number, since it is smaller than the sum of its proper divisors (934325130422520).

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

320311103013000 is a wasteful number, since it uses less digits than its factorization.

320311103013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195455 (or 11195421 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 320311103013000 its reverse (310301113023), we get a palindrome (320621404126023).

The spelling of 320311103013000 in words is "three hundred twenty trillion, three hundred eleven billion, one hundred three million, thirteen thousand".