233320113 has 24 divisors (see below), whose sum is σ = 372758568. Its totient is φ = 139698432.

The previous prime is 233320099. The next prime is 233320117. The reversal of 233320113 is 311023332.

233320113 is a `hidden beast` number, since 233 + 320 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64112049 + 169208064 = 8007^2 + 13008^2 .

It is not a de Polignac number, because 233320113 - 2⁴ = 233320097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233320117) 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, 22620 + ... + 31277.

It is an arithmetic number, because the mean of its divisors is an integer number (15531607).

Almost surely, 2^233320113 is an apocalyptic number.

It is an amenable number.

233320113 is a deficient number, since it is larger than the sum of its proper divisors (139438455).

233320113 is a wasteful number, since it uses less digits than its factorization.

233320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53953 (or 53950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233320113 is about 15274.8195734025. The cubic root of 233320113 is about 615.6266228684.

Adding to 233320113 its reverse (311023332), we get a palindrome (544343445).

The spelling of 233320113 in words is "two hundred thirty-three million, three hundred twenty thousand, one hundred thirteen".