331113003331300 has 72 divisors (see below), whose sum is σ = 722550174141600. Its totient is φ = 131701473304320.

The previous prime is 331113003331291. The next prime is 331113003331303. The reversal of 331113003331300 is 3133300311133.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (331113003331303) 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 23 ways as a sum of consecutive naturals, for example, 664539064 + ... + 665037136.

It is an arithmetic number, because the mean of its divisors is an integer number (10035419085300).

Almost surely, 2^{331113003331300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331113003331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361275087070800).

331113003331300 is an abundant number, since it is smaller than the sum of its proper divisors (391437170810300).

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

331113003331300 is a wasteful number, since it uses less digits than its factorization.

331113003331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535405 (or 535398 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 331113003331300 its reverse (3133300311133), we get a palindrome (334246303642433).

The spelling of 331113003331300 in words is "three hundred thirty-one trillion, one hundred thirteen billion, three million, three hundred thirty-one thousand, three hundred".