233133013 has 6 divisors (see below), whose sum is σ = 237154934. Its totient is φ = 229178184.

The previous prime is 233133007. The next prime is 233133023. The reversal of 233133013 is 310331332.

It can be written as a sum of positive squares in only one way, i.e., 171557604 + 61575409 = 13098^2 + 7847^2 .

It is not a de Polignac number, because 233133013 - 2¹³ = 233124821 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 (233133023) 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, 30006 + ... + 36967.

Almost surely, 2^233133013 is an apocalyptic number.

It is an amenable number.

233133013 is a deficient number, since it is larger than the sum of its proper divisors (4021921).

233133013 is an frugal number, since it uses more digits than its factorization.

233133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67091 (or 67032 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 233133013 is about 15268.6938865117. The cubic root of 233133013 is about 615.4620213372.

Adding to 233133013 its reverse (310331332), we get a palindrome (543464345).

It can be divided in two parts, 2331 and 33013, that added together give a square (35344 = 188²).

The spelling of 233133013 in words is "two hundred thirty-three million, one hundred thirty-three thousand, thirteen".