2133131232033 has 12 divisors (see below), whose sum is σ = 3081202223268. Its totient is φ = 1422081642240.

The previous prime is 2133131232007. The next prime is 2133131232041. The reversal of 2133131232033 is 3302321313312.

2133131232033 is a `hidden beast` number, since 2 + 1 + 331 + 3 + 1 + 2 + 320 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1418916939489 + 714214292544 = 1191183^2 + 845112^2 .

It is not a de Polignac number, because 2133131232033 - 2⁹ = 2133131231521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133131231988 and 2133131232006.

It is not an unprimeable number, because it can be changed into a prime (2133131234033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3976341 + ... + 4480797.

It is an arithmetic number, because the mean of its divisors is an integer number (256766851939).

Almost surely, 2^{2133131232033} is an apocalyptic number.

It is an amenable number.

2133131232033 is a deficient number, since it is larger than the sum of its proper divisors (948070991235).

2133131232033 is a wasteful number, since it uses less digits than its factorization.

2133131232033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974304 (or 974301 counting only the distinct ones).

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

Adding to 2133131232033 its reverse (3302321313312), we get a palindrome (5435452545345).

The spelling of 2133131232033 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-two thousand, thirty-three".