320111030131020 has 144 divisors (see below), whose sum is σ = 975229006332672. Its totient is φ = 84992086408320.

The previous prime is 320111030131019. The next prime is 320111030131063. The reversal of 320111030131020 is 20131030111023.

320111030131020 is a `hidden beast` number, since 3 + 20 + 1 + 1 + 10 + 301 + 310 + 20 = 666.

It is a super-2 number, since 2×320111030131020² (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 = 320111030130984 and 320111030131002.

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, 46192339 + ... + 52668341.

It is an arithmetic number, because the mean of its divisors is an integer number (6772423655088).

Almost surely, 2^{320111030131020} is an apocalyptic number.

320111030131020 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 320111030131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487614503166336).

320111030131020 is an abundant number, since it is smaller than the sum of its proper divisors (655117976201652).

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

320111030131020 is a wasteful number, since it uses less digits than its factorization.

320111030131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477212 (or 6477207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 320111030131020 its reverse (20131030111023), we get a palindrome (340242060242043).

The spelling of 320111030131020 in words is "three hundred twenty trillion, one hundred eleven billion, thirty million, one hundred thirty-one thousand, twenty".