331220133300 has 288 divisors, whose sum is σ = 1125911937024. Its totient is φ = 73616256000.

The previous prime is 331220133287. The next prime is 331220133319. The reversal of 331220133300 is 3331022133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10869085 + ... + 10899515.

It is an arithmetic number, because the mean of its divisors is an integer number (3909416448).

Almost surely, 2^331220133300 is an apocalyptic number.

331220133300 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 331220133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562955968512).

331220133300 is an abundant number, since it is smaller than the sum of its proper divisors (794691803724).

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

331220133300 is a wasteful number, since it uses less digits than its factorization.

331220133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30599 (or 30592 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 331220133300 its reverse (3331022133), we get a palindrome (334551155433).

The spelling of 331220133300 in words is "three hundred thirty-one billion, two hundred twenty million, one hundred thirty-three thousand, three hundred".