331013113323200 has 336 divisors, whose sum is σ = 1015550278312704. Its totient is φ = 103165722316800.

The previous prime is 331013113323161. The next prime is 331013113323259. The reversal of 331013113323200 is 2323311310133.

It is a self number, because there is not a number n which added to its sum of digits gives 331013113323200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1927131722 + ... + 1927303478.

Almost surely, 2^{331013113323200} 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 331013113323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507775139156352).

331013113323200 is an abundant number, since it is smaller than the sum of its proper divisors (684537164989504).

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

331013113323200 is a wasteful number, since it uses less digits than its factorization.

331013113323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187440 (or 187425 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 331013113323200 its reverse (2323311310133), we get a palindrome (333336424633333).

The spelling of 331013113323200 in words is "three hundred thirty-one trillion, thirteen billion, one hundred thirteen million, three hundred twenty-three thousand, two hundred".