233000121013311 has 48 divisors (see below), whose sum is σ = 325572941111040. Its totient is φ = 148208562585600.

The previous prime is 233000121013291. The next prime is 233000121013313. The reversal of 233000121013311 is 113310121000332.

It is a happy number.

It is not a de Polignac number, because 233000121013311 - 2⁵ = 233000121013279 is a prime.

It is a super-3 number, since 3×233000121013311³ (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 (233000121013313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9101198911 + ... + 9101224511.

It is an arithmetic number, because the mean of its divisors is an integer number (6782769606480).

Almost surely, 2^{233000121013311} is an apocalyptic number.

233000121013311 is a deficient number, since it is larger than the sum of its proper divisors (92572820097729).

233000121013311 is a wasteful number, since it uses less digits than its factorization.

233000121013311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39756 (or 39733 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 233000121013311 its reverse (113310121000332), we get a palindrome (346310242013643).

The spelling of 233000121013311 in words is "two hundred thirty-three trillion, one hundred twenty-one million, thirteen thousand, three hundred eleven".