331300011200000 has 240 divisors, whose sum is σ = 837357102434160. Its totient is φ = 130923325440000.

The previous prime is 331300011199987. The next prime is 331300011200077. The reversal of 331300011200000 is 2110003133.

It is a super-2 number, since 2×331300011200000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131552636 + ... + 134047364.

It is an arithmetic number, because the mean of its divisors is an integer number (3488987926809).

Almost surely, 2^{331300011200000} 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 331300011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418678551217080).

331300011200000 is an abundant number, since it is smaller than the sum of its proper divisors (506057091234160).

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

331300011200000 is an frugal number, since it uses more digits than its factorization.

331300011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494855 (or 2494819 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 331300011200000 its reverse (2110003133), we get a palindrome (331302121203133).

The spelling of 331300011200000 in words is "three hundred thirty-one trillion, three hundred billion, eleven million, two hundred thousand".