221314101321330 has 96 divisors (see below), whose sum is σ = 575716638659760. Its totient is φ = 58986334218240.

The previous prime is 221314101321323. The next prime is 221314101321331. The reversal of 221314101321330 is 33123101413122.

221314101321330 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 4 + 1 + 0 + 1 + 321 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97772010048729 + 123542091272601 = 9887973^2 + 11114949^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221314101321294 and 221314101321303.

It is not an unprimeable number, because it can be changed into a prime (221314101321331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563666006 + ... + 1563807534.

Almost surely, 2^{221314101321330} is an apocalyptic number.

221314101321330 is an abundant number, since it is smaller than the sum of its proper divisors (354402537338430).

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

221314101321330 is a wasteful number, since it uses less digits than its factorization.

221314101321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150476 (or 150473 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221314101321330 its reverse (33123101413122), we get a palindrome (254437202734452).

The spelling of 221314101321330 in words is "two hundred twenty-one trillion, three hundred fourteen billion, one hundred one million, three hundred twenty-one thousand, three hundred thirty".