113221305 has 24 divisors (see below), whose sum is σ = 196894152. Its totient is φ = 60186624.

The previous prime is 113221271. The next prime is 113221319. The reversal of 113221305 is 503122311.

It can be written as a sum of positive squares in 4 ways, for example, as 16867449 + 96353856 = 4107^2 + 9816^2 .

It is not a de Polignac number, because 113221305 - 2¹⁰ = 113220281 is a prime.

It is an unprimeable number.

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, 10297 + ... + 18233.

It is an arithmetic number, because the mean of its divisors is an integer number (8203923).

Almost surely, 2^113221305 is an apocalyptic number.

113221305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113221305 is a deficient number, since it is larger than the sum of its proper divisors (83672847).

113221305 is a wasteful number, since it uses less digits than its factorization.

113221305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8262 counting only the distinct ones).

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

The square root of 113221305 is about 10640.5500327756. The cubic root of 113221305 is about 483.7742170838.

Adding to 113221305 its reverse (503122311), we get a palindrome (616343616).

It can be divided in two parts, 113221 and 305, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 113221305 in words is "one hundred thirteen million, two hundred twenty-one thousand, three hundred five".