113188321 has 3 divisors (see below), whose sum is σ = 113198961. Its totient is φ = 113177682.

The previous prime is 113188303. The next prime is 113188349. The reversal of 113188321 is 123881311.

The square root of 113188321 is 10639.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 123881311 = 19 ⋅6520069.

It is not a de Polignac number, because 113188321 - 2⁵ = 113188289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113188321.

It is not an unprimeable number, because it can be changed into a prime (113188021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5320 + ... + 15958.

It is an arithmetic number, because the mean of its divisors is an integer number (37732987).

Almost surely, 2^113188321 is an apocalyptic number.

113188321 is the 10639-th square number.

113188321 is the 5320-th centered octagonal number.

It is an amenable number.

113188321 is a deficient number, since it is larger than the sum of its proper divisors (10640).

113188321 is an frugal number, since it uses more digits than its factorization.

113188321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278 (or 10639 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The cubic root of 113188321 is about 483.7272342933.

The spelling of 113188321 in words is "one hundred thirteen million, one hundred eighty-eight thousand, three hundred twenty-one".