331131300133320 has 256 divisors, whose sum is σ = 1105417715328000. Its totient is φ = 88169968051200.

The previous prime is 331131300133247. The next prime is 331131300133321. The reversal of 331131300133320 is 23331003131133.

331131300133320 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 1 + 300 + 1 + 33 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331131300133321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12005761930 + ... + 12005789510.

It is an arithmetic number, because the mean of its divisors is an integer number (4318037950500).

Almost surely, 2^{331131300133320} is an apocalyptic number.

331131300133320 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 331131300133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552708857664000).

331131300133320 is an abundant number, since it is smaller than the sum of its proper divisors (774286415194680).

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

331131300133320 is a wasteful number, since it uses less digits than its factorization.

331131300133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43781 (or 43771 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 331131300133320 its reverse (23331003131133), we get a palindrome (354462303264453).

The spelling of 331131300133320 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred million, one hundred thirty-three thousand, three hundred twenty".