233233013 has 12 divisors (see below), whose sum is σ = 267413508. Its totient is φ = 202625280.

The previous prime is 233233003. The next prime is 233233031. The reversal of 233233013 is 310332332.

It can be written as a sum of positive squares in 6 ways, for example, as 7091569 + 226141444 = 2663^2 + 15038^2 .

It is not a de Polignac number, because 233233013 - 2⁴ = 233232997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233233003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37718 + ... + 43463.

It is an arithmetic number, because the mean of its divisors is an integer number (22284459).

Almost surely, 2^233233013 is an apocalyptic number.

It is an amenable number.

233233013 is a deficient number, since it is larger than the sum of its proper divisors (34180495).

233233013 is a wasteful number, since it uses less digits than its factorization.

233233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81224 (or 81211 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 233233013 is about 15271.9682097626. The cubic root of 233233013 is about 615.5500074523.

Adding to 233233013 its reverse (310332332), we get a palindrome (543565345).

The spelling of 233233013 in words is "two hundred thirty-three million, two hundred thirty-three thousand, thirteen".