331303100221000 has 128 divisors (see below), whose sum is σ = 781475660784000. Its totient is φ = 131461112659200.

The previous prime is 331303100220977. The next prime is 331303100221031. The reversal of 331303100221000 is 122001303133.

It is a super-3 number, since 3×331303100221000³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60244551 + ... + 65513449.

It is an arithmetic number, because the mean of its divisors is an integer number (6105278599875).

Almost surely, 2^{331303100221000} 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 331303100221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390737830392000).

331303100221000 is an abundant number, since it is smaller than the sum of its proper divisors (450172560563000).

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

331303100221000 is a wasteful number, since it uses less digits than its factorization.

331303100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269424 (or 5269410 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 331303100221000 its reverse (122001303133), we get a palindrome (331425101524133).

The spelling of 331303100221000 in words is "three hundred thirty-one trillion, three hundred three billion, one hundred million, two hundred twenty-one thousand".