221101311330 has 48 divisors (see below), whose sum is σ = 608678908344. Its totient is φ = 55492093440.

The previous prime is 221101311317. The next prime is 221101311331. The reversal of 221101311330 is 33113101122.

221101311330 is a `hidden beast` number, since 2 + 21 + 1 + 0 + 1 + 311 + 330 = 666.

221101311330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 215982338121 + 5118973209 = 464739^2 + 71547^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221101311331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72253801 + ... + 72256860.

Almost surely, 2^221101311330 is an apocalyptic number.

221101311330 is an abundant number, since it is smaller than the sum of its proper divisors (387577597014).

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

221101311330 is a wasteful number, since it uses less digits than its factorization.

221101311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144510691 (or 144510688 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 221101311330 its reverse (33113101122), we get a palindrome (254214412452).

The spelling of 221101311330 in words is "two hundred twenty-one billion, one hundred one million, three hundred eleven thousand, three hundred thirty".