331333113221220 has 1536 divisors, whose sum is σ = 1198270123868160. Its totient is φ = 67308281856000.

The previous prime is 331333113221213. The next prime is 331333113221233. The reversal of 331333113221220 is 22122311333133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61506051367 + ... + 61506056753.

It is an arithmetic number, because the mean of its divisors is an integer number (780123778560).

Almost surely, 2^{331333113221220} is an apocalyptic number.

331333113221220 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 331333113221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599135061934080).

331333113221220 is an abundant number, since it is smaller than the sum of its proper divisors (866937010646940).

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

331333113221220 is a wasteful number, since it uses less digits than its factorization.

331333113221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 331333113221220 its reverse (22122311333133), we get a palindrome (353455424554353).

The spelling of 331333113221220 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".