221302013133330 has 80 divisors (see below), whose sum is σ = 611139133047960. Its totient is φ = 57418900697088.

The previous prime is 221302013133317. The next prime is 221302013133373. The reversal of 221302013133330 is 33331310203122.

221302013133330 is a `hidden beast` number, since 2 + 2 + 1 + 302 + 0 + 13 + 13 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217778700184929 + 3523312948401 = 14757327^2 + 1877049^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221302013133294 and 221302013133303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3692028975 + ... + 3692088914.

Almost surely, 2^{221302013133330} is an apocalyptic number.

221302013133330 is an abundant number, since it is smaller than the sum of its proper divisors (389837119914630).

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

221302013133330 is a wasteful number, since it uses less digits than its factorization.

221302013133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384117945 (or 7384117936 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 221302013133330 its reverse (33331310203122), we get a palindrome (254633323336452).

The spelling of 221302013133330 in words is "two hundred twenty-one trillion, three hundred two billion, thirteen million, one hundred thirty-three thousand, three hundred thirty".