233413313 has 12 divisors (see below), whose sum is σ = 273260052. Its totient is φ = 198787680.

The previous prime is 233413303. The next prime is 233413337. The reversal of 233413313 is 313314332.

It can be written as a sum of positive squares in 2 ways, for example, as 52591504 + 180821809 = 7252^2 + 13447^2 .

It is not a de Polignac number, because 233413313 - 2¹⁸ = 233151169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233413303) 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, 7478 + ... + 22863.

It is an arithmetic number, because the mean of its divisors is an integer number (22771671).

Almost surely, 2^233413313 is an apocalyptic number.

It is an amenable number.

233413313 is a deficient number, since it is larger than the sum of its proper divisors (39846739).

233413313 is a wasteful number, since it uses less digits than its factorization.

233413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30512 (or 30505 counting only the distinct ones).

The product of its digits is 1944, while the sum is 23.

The square root of 233413313 is about 15277.8700413376. The cubic root of 233413313 is about 615.7085828882.

Adding to 233413313 its reverse (313314332), we get a palindrome (546727645).

The spelling of 233413313 in words is "two hundred thirty-three million, four hundred thirteen thousand, three hundred thirteen".