233120132110013 has 8 divisors (see below), whose sum is σ = 234032151308280. Its totient is φ = 232208151183360.

The previous prime is 233120132109967. The next prime is 233120132110037. The reversal of 233120132110013 is 310011231021332.

It can be written as a sum of positive squares in 4 ways, for example, as 194574684694009 + 38545447416004 = 13949003^2 + 6208498^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233120132110013 - 2²⁸ = 233119863674557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233120132110813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668883 + ... + 21756911.

It is an arithmetic number, because the mean of its divisors is an integer number (29254018913535).

Almost surely, 2^{233120132110013} is an apocalyptic number.

It is an amenable number.

233120132110013 is a deficient number, since it is larger than the sum of its proper divisors (912019198267).

233120132110013 is a wasteful number, since it uses less digits than its factorization.

233120132110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19135807.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 233120132110013 its reverse (310011231021332), we get a palindrome (543131363131345).

The spelling of 233120132110013 in words is "two hundred thirty-three trillion, one hundred twenty billion, one hundred thirty-two million, one hundred ten thousand, thirteen".