2133212102033 has 2 divisors, whose sum is σ = 2133212102034. Its totient is φ = 2133212102032.

The previous prime is 2133212102027. The next prime is 2133212102053. The reversal of 2133212102033 is 3302012123312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1358826181969 + 774385920064 = 1165687^2 + 879992^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133212102033 - 2³⁸ = 1858334195089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133212102053) 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 as a sum of consecutive naturals, namely, 1066606051016 + 1066606051017.

It is an arithmetic number, because the mean of its divisors is an integer number (1066606051017).

Almost surely, 2^{2133212102033} is an apocalyptic number.

It is an amenable number.

2133212102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133212102033 is an equidigital number, since it uses as much as digits as its factorization.

2133212102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2133212102033 its reverse (3302012123312), we get a palindrome (5435224225345).

The spelling of 2133212102033 in words is "two trillion, one hundred thirty-three billion, two hundred twelve million, one hundred two thousand, thirty-three".