201313223111133 has 36 divisors (see below), whose sum is σ = 339014359511100. Its totient is φ = 114779922195456.

The previous prime is 201313223111087. The next prime is 201313223111173. The reversal of 201313223111133 is 331111322313102.

201313223111133 is a `hidden beast` number, since 2 + 0 + 1 + 313 + 2 + 2 + 311 + 1 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139422558599289 + 61890664511844 = 11807733^2 + 7867062^2 .

It is not a de Polignac number, because 201313223111133 - 2²⁴ = 201313206333917 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201313223111097 and 201313223111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201313223111173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 508145610 + ... + 508541627.

It is an arithmetic number, because the mean of its divisors is an integer number (9417065541975).

Almost surely, 2^{201313223111133} is an apocalyptic number.

It is an amenable number.

201313223111133 is a deficient number, since it is larger than the sum of its proper divisors (137701136399967).

201313223111133 is a wasteful number, since it uses less digits than its factorization.

201313223111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016687706 (or 1016687696 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 201313223111133 its reverse (331111322313102), we get a palindrome (532424545424235).

The spelling of 201313223111133 in words is "two hundred one trillion, three hundred thirteen billion, two hundred twenty-three million, one hundred eleven thousand, one hundred thirty-three".