113305221 has 24 divisors (see below), whose sum is σ = 173997720. Its totient is φ = 70803456.

The previous prime is 113305207. The next prime is 113305237. The reversal of 113305221 is 122503311.

113305221 is a `hidden beast` number, since 113 + 30 + 522 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29582721 + 83722500 = 5439^2 + 9150^2 .

It is not a de Polignac number, because 113305221 - 2¹¹ = 113303173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113305194 and 113305203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113305201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39781 + ... + 42533.

It is an arithmetic number, because the mean of its divisors is an integer number (7249905).

Almost surely, 2^113305221 is an apocalyptic number.

It is an amenable number.

113305221 is a deficient number, since it is larger than the sum of its proper divisors (60692499).

113305221 is a wasteful number, since it uses less digits than its factorization.

113305221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113305221 is about 10644.4925196084. The cubic root of 113305221 is about 483.8937068793.

Adding to 113305221 its reverse (122503311), we get a palindrome (235808532).

It can be divided in two parts, 113305 and 221, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 113305221 in words is "one hundred thirteen million, three hundred five thousand, two hundred twenty-one".