233205344312013 has 16 divisors (see below), whose sum is σ = 356634218304000. Its totient is φ = 150455060845920.

The previous prime is 233205344312011. The next prime is 233205344312041. The reversal of 233205344312013 is 310213443502332.

233205344312013 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 0 + 5 + 3 + 443 + 1 + 201 + 3 = 666.

233205344312013 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 233205344312013 - 2¹ = 233205344312011 is a prime.

It is a super-2 number, since 2×233205344312013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233205344312011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139310240688 + ... + 139310242361.

It is an arithmetic number, because the mean of its divisors is an integer number (22289638644000).

Almost surely, 2^{233205344312013} is an apocalyptic number.

It is an amenable number.

233205344312013 is a deficient number, since it is larger than the sum of its proper divisors (123428873991987).

233205344312013 is a wasteful number, since it uses less digits than its factorization.

233205344312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278620483089 (or 278620483083 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 233205344312013 its reverse (310213443502332), we get a palindrome (543418787814345).

The spelling of 233205344312013 in words is "two hundred thirty-three trillion, two hundred five billion, three hundred forty-four million, three hundred twelve thousand, thirteen".