233313431133213 has 32 divisors (see below), whose sum is σ = 346249738800000. Its totient is φ = 155272391133696.

The previous prime is 233313431133187. The next prime is 233313431133217. The reversal of 233313431133213 is 312331134313332.

It is a happy number.

233313431133213 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 1 + 3 + 4 + 311 + 332 + 1 + 3 = 666.

It is not a de Polignac number, because 233313431133213 - 2⁹ = 233313431132701 is a prime.

It is a super-3 number, since 3×233313431133213³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233313431133217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39522438 + ... + 45040536.

It is an arithmetic number, because the mean of its divisors is an integer number (10820304337500).

Almost surely, 2^{233313431133213} is an apocalyptic number.

It is an amenable number.

233313431133213 is a deficient number, since it is larger than the sum of its proper divisors (112936307666787).

233313431133213 is a wasteful number, since it uses less digits than its factorization.

233313431133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520826 (or 5520820 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

Adding to 233313431133213 its reverse (312331134313332), we get a palindrome (545644565446545).

The spelling of 233313431133213 in words is "two hundred thirty-three trillion, three hundred thirteen billion, four hundred thirty-one million, one hundred thirty-three thousand, two hundred thirteen".