233033013 has 6 divisors (see below), whose sum is σ = 336603254. Its totient is φ = 155355336.

The previous prime is 233032973. The next prime is 233033029. The reversal of 233033013 is 310330332.

233033013 is a `hidden beast` number, since 2 + 330 + 330 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178302609 + 54730404 = 13353^2 + 7398^2 .

It is not a de Polignac number, because 233033013 - 2¹⁴ = 233016629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233033513) 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 5 ways as a sum of consecutive naturals, for example, 12946270 + ... + 12946287.

Almost surely, 2^233033013 is an apocalyptic number.

It is an amenable number.

233033013 is a deficient number, since it is larger than the sum of its proper divisors (103570241).

233033013 is a wasteful number, since it uses less digits than its factorization.

233033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25892563 (or 25892560 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 233033013 is about 15265.4188609419. The cubic root of 233033013 is about 615.3740100580.

Adding to 233033013 its reverse (310330332), we get a palindrome (543363345).

The spelling of 233033013 in words is "two hundred thirty-three million, thirty-three thousand, thirteen".