220311331321312 has 192 divisors, whose sum is σ = 557737845073920. Its totient is φ = 83177515008000.

The previous prime is 220311331321309. The next prime is 220311331321313. The reversal of 220311331321312 is 213123133113022.

220311331321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311331321313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2278864 + ... + 21114352.

It is an arithmetic number, because the mean of its divisors is an integer number (2904884609760).

Almost surely, 2^{220311331321312} is an apocalyptic number.

220311331321312 is a gapful number since it is divisible by the number (22) 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 220311331321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278868922536960).

220311331321312 is an abundant number, since it is smaller than the sum of its proper divisors (337426513752608).

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

220311331321312 is a wasteful number, since it uses less digits than its factorization.

220311331321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18835665 (or 18835657 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 220311331321312 its reverse (213123133113022), we get a palindrome (433434464434334).

The spelling of 220311331321312 in words is "two hundred twenty trillion, three hundred eleven billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred twelve".