233312112013 has 8 divisors (see below), whose sum is σ = 237729563928. Its totient is φ = 228895228224.

The previous prime is 233312112001. The next prime is 233312112041. The reversal of 233312112013 is 310211213332.

It can be written as a sum of positive squares in 4 ways, for example, as 67061835369 + 166250276644 = 258963^2 + 407738^2 .

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 233312112013 - 2¹³ = 233312103821 is a prime.

It is a super-2 number, since 2×233312112013² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233312712013) 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, 738231 + ... + 1005787.

It is an arithmetic number, because the mean of its divisors is an integer number (29716195491).

Almost surely, 2^233312112013 is an apocalyptic number.

It is an amenable number.

233312112013 is a deficient number, since it is larger than the sum of its proper divisors (4417451915).

233312112013 is a wasteful number, since it uses less digits than its factorization.

233312112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284063.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233312112013 its reverse (310211213332), we get a palindrome (543523325345).

The spelling of 233312112013 in words is "two hundred thirty-three billion, three hundred twelve million, one hundred twelve thousand, thirteen".