331220132301300 has 432 divisors, whose sum is σ = 1059836874432000. Its totient is φ = 79804122393600.

The previous prime is 331220132301283. The next prime is 331220132301301. The reversal of 331220132301300 is 3103231022133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220132301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4962140326 + ... + 4962207074.

Almost surely, 2^{331220132301300} is an apocalyptic number.

331220132301300 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 331220132301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529918437216000).

331220132301300 is an abundant number, since it is smaller than the sum of its proper divisors (728616742130700).

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

331220132301300 is a wasteful number, since it uses less digits than its factorization.

331220132301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67624 (or 67606 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331220132301300 its reverse (3103231022133), we get a palindrome (334323363323433).

The spelling of 331220132301300 in words is "three hundred thirty-one trillion, two hundred twenty billion, one hundred thirty-two million, three hundred one thousand, three hundred".