221313111000000 has 392 divisors, whose sum is σ = 733935670503168. Its totient is φ = 58855728000000.

The previous prime is 221313110999923. The next prime is 221313111000001. The reversal of 221313111000000 is 111313122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313111000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1100899495 + ... + 1101100505.

Almost surely, 2^{221313111000000} is an apocalyptic number.

221313111000000 is a gapful number since it is divisible by the number (20) 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 221313111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366967835251584).

221313111000000 is an abundant number, since it is smaller than the sum of its proper divisors (512622559503168).

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

221313111000000 is an frugal number, since it uses more digits than its factorization.

221313111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201423 (or 201388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 221313111000000 its reverse (111313122), we get a palindrome (221313222313122).

The spelling of 221313111000000 in words is "two hundred twenty-one trillion, three hundred thirteen billion, one hundred eleven million", and thus it is an aban number.