2133133202133 has 48 divisors (see below), whose sum is σ = 3128982120576. Its totient is φ = 1400220856320.

The previous prime is 2133133202111. The next prime is 2133133202149. The reversal of 2133133202133 is 3312023313312.

2133133202133 is a `hidden beast` number, since 2 + 1 + 3 + 313 + 320 + 21 + 3 + 3 = 666.

It is not a de Polignac number, because 2133133202133 - 2²⁰ = 2133132153557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133133202097 and 2133133202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133133202533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105710941 + ... + 105731117.

It is an arithmetic number, because the mean of its divisors is an integer number (65187127512).

Almost surely, 2^{2133133202133} is an apocalyptic number.

It is an amenable number.

2133133202133 is a deficient number, since it is larger than the sum of its proper divisors (995848918443).

2133133202133 is a wasteful number, since it uses less digits than its factorization.

2133133202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20954 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2133133202133 its reverse (3312023313312), we get a palindrome (5445156515445).

The spelling of 2133133202133 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred two thousand, one hundred thirty-three".