233120312030133 has 48 divisors (see below), whose sum is σ = 375167302788096. Its totient is φ = 138275125996320.

The previous prime is 233120312030033. The next prime is 233120312030141. The reversal of 233120312030133 is 331030213021332.

233120312030133 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 203 + 120 + 301 + 33 = 666.

233120312030133 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 233120312030133 - 2¹⁶ = 233120311964597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233120312030097 and 233120312030106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233120312030033) 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, 171124266 + ... + 172481172.

It is an arithmetic number, because the mean of its divisors is an integer number (7815985474752).

Almost surely, 2^{233120312030133} is an apocalyptic number.

It is an amenable number.

233120312030133 is a deficient number, since it is larger than the sum of its proper divisors (142046990757963).

233120312030133 is a wasteful number, since it uses less digits than its factorization.

233120312030133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393894 (or 1393891 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 233120312030133 its reverse (331030213021332), we get a palindrome (564150525051465).

The spelling of 233120312030133 in words is "two hundred thirty-three trillion, one hundred twenty billion, three hundred twelve million, thirty thousand, one hundred thirty-three".