2133212132133 has 24 divisors (see below), whose sum is σ = 3218022375360. Its totient is φ = 1359147366720.

The previous prime is 2133212132119. The next prime is 2133212132141. The reversal of 2133212132133 is 3312312123312.

2133212132133 is a `hidden beast` number, since 2 + 1 + 332 + 1 + 2 + 1 + 321 + 3 + 3 = 666.

It is not a de Polignac number, because 2133212132133 - 2⁵ = 2133212132101 is a prime.

It is a super-2 number, since 2×2133212132133² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133212132097 and 2133212132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133212132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4157848 + ... + 4642641.

It is an arithmetic number, because the mean of its divisors is an integer number (134084265640).

Almost surely, 2^{2133212132133} is an apocalyptic number.

2133212132133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2133212132133 is a deficient number, since it is larger than the sum of its proper divisors (1084810243227).

2133212132133 is a wasteful number, since it uses less digits than its factorization.

2133212132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801689 (or 8801686 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2133212132133 its reverse (3312312123312), we get a palindrome (5445524255445).

The spelling of 2133212132133 in words is "two trillion, one hundred thirty-three billion, two hundred twelve million, one hundred thirty-two thousand, one hundred thirty-three".