233013133113 has 24 divisors (see below), whose sum is σ = 331878739680. Its totient is φ = 145387438080.

The previous prime is 233013133103. The next prime is 233013133163. The reversal of 233013133113 is 311331310332.

233013133113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233013133113 - 2⁴ = 233013133097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233013133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595528 + ... + 905913.

It is an arithmetic number, because the mean of its divisors is an integer number (13828280820).

Almost surely, 2^233013133113 is an apocalyptic number.

It is an amenable number.

233013133113 is a deficient number, since it is larger than the sum of its proper divisors (98865606567).

233013133113 is a wasteful number, since it uses less digits than its factorization.

233013133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501657 (or 1501640 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 233013133113 its reverse (311331310332), we get a palindrome (544344443445).

The spelling of 233013133113 in words is "two hundred thirty-three billion, thirteen million, one hundred thirty-three thousand, one hundred thirteen".