233288013 has 16 divisors (see below), whose sum is σ = 358751360. Its totient is φ = 132083136.

The previous prime is 233287987. The next prime is 233288021. The reversal of 233288013 is 310882332.

It is not a de Polignac number, because 233288013 - 2⁶ = 233287949 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 (233288053) 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 15 ways as a sum of consecutive naturals, for example, 48670 + ... + 53247.

It is an arithmetic number, because the mean of its divisors is an integer number (22421960).

Almost surely, 2^233288013 is an apocalyptic number.

It is an amenable number.

233288013 is a deficient number, since it is larger than the sum of its proper divisors (125463347).

233288013 is a wasteful number, since it uses less digits than its factorization.

233288013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102036.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 233288013 is about 15273.7687883508. The cubic root of 233288013 is about 615.5983890960.

The spelling of 233288013 in words is "two hundred thirty-three million, two hundred eighty-eight thousand, thirteen".