233013211113233 has 6 divisors (see below), whose sum is σ = 247526144677686. Its totient is φ = 219306551635712.

The previous prime is 233013211113217. The next prime is 233013211113283. The reversal of 233013211113233 is 332311112310332.

It can be written as a sum of positive squares in 3 ways, for example, as 174116918543569 + 58896292569664 = 13195337^2 + 7674392^2 .

It is not a de Polignac number, because 233013211113233 - 2⁴ = 233013211113217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233013211113196 and 233013211113205.

It is not an unprimeable number, because it can be changed into a prime (233013211113203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 403137043160 + ... + 403137043737.

It is an arithmetic number, because the mean of its divisors is an integer number (41254357446281).

Almost surely, 2^{233013211113233} is an apocalyptic number.

It is an amenable number.

233013211113233 is a deficient number, since it is larger than the sum of its proper divisors (14512933564453).

233013211113233 is an equidigital number, since it uses as much as digits as its factorization.

233013211113233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806274086931 (or 806274086914 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 233013211113233 its reverse (332311112310332), we get a palindrome (565324323423565).

The spelling of 233013211113233 in words is "two hundred thirty-three trillion, thirteen billion, two hundred eleven million, one hundred thirteen thousand, two hundred thirty-three".