221134310333130 has 128 divisors (see below), whose sum is σ = 578006430854400. Its totient is φ = 53930959294464.

The previous prime is 221134310333119. The next prime is 221134310333137. The reversal of 221134310333130 is 31333013431122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (221134310333137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108701794 + ... + 110717426.

It is an arithmetic number, because the mean of its divisors is an integer number (4515675241050).

Almost surely, 2^{221134310333130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221134310333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289003215427200).

221134310333130 is an abundant number, since it is smaller than the sum of its proper divisors (356872120521270).

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

221134310333130 is a wasteful number, since it uses less digits than its factorization.

221134310333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022328.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 221134310333130 its reverse (31333013431122), we get a palindrome (252467323764252).

The spelling of 221134310333130 in words is "two hundred twenty-one trillion, one hundred thirty-four billion, three hundred ten million, three hundred thirty-three thousand, one hundred thirty".