331201331012200 has 384 divisors, whose sum is σ = 873445564656000. Its totient is φ = 115746498560000.

The previous prime is 331201331012197. The next prime is 331201331012249. The reversal of 331201331012200 is 2210133102133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2159401515 + ... + 2159554885.

It is an arithmetic number, because the mean of its divisors is an integer number (2274597824625).

Almost surely, 2^{331201331012200} 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 331201331012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436722782328000).

331201331012200 is an abundant number, since it is smaller than the sum of its proper divisors (542244233643800).

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

331201331012200 is a wasteful number, since it uses less digits than its factorization.

331201331012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153797 (or 153788 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331201331012200 its reverse (2210133102133), we get a palindrome (333411464114333).

The spelling of 331201331012200 in words is "three hundred thirty-one trillion, two hundred one billion, three hundred thirty-one million, twelve thousand, two hundred".