331201322113200 has 720 divisors, whose sum is σ = 1337830033064448. Its totient is φ = 68559321600000.

The previous prime is 331201322113171. The next prime is 331201322113237. The reversal of 331201322113200 is 2311223102133.

It is a super-5 number, since 5×331201322113200⁵ (a number of 74 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 266693700 + ... + 267932700.

Almost surely, 2^{331201322113200} is an apocalyptic number.

331201322113200 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 331201322113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668915016532224).

331201322113200 is an abundant number, since it is smaller than the sum of its proper divisors (1006628710951248).

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

331201322113200 is a wasteful number, since it uses less digits than its factorization.

331201322113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239314 (or 1239292 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331201322113200 its reverse (2311223102133), we get a palindrome (333512545215333).

The spelling of 331201322113200 in words is "three hundred thirty-one trillion, two hundred one billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred".