130331334111000 has 256 divisors, whose sum is σ = 444164216670720. Its totient is φ = 31555321920000.

The previous prime is 130331334110959. The next prime is 130331334111053. The reversal of 130331334111000 is 111433133031.

130331334111000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130331334111000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23461830 + ... + 28480170.

It is an arithmetic number, because the mean of its divisors is an integer number (1735016471370).

Almost surely, 2^{130331334111000} is an apocalyptic number.

130331334111000 is a gapful number since it is divisible by the number (10) 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 130331334111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082108335360).

130331334111000 is an abundant number, since it is smaller than the sum of its proper divisors (313832882559720).

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

130331334111000 is a wasteful number, since it uses less digits than its factorization.

130331334111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019163 (or 5019149 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 130331334111000 its reverse (111433133031), we get a palindrome (130442767244031).

The spelling of 130331334111000 in words is "one hundred thirty trillion, three hundred thirty-one billion, three hundred thirty-four million, one hundred eleven thousand".