2120332002133 has 2 divisors, whose sum is σ = 2120332002134. Its totient is φ = 2120332002132.

The previous prime is 2120332002127. The next prime is 2120332002193. The reversal of 2120332002133 is 3312002330212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1489859477604 + 630472524529 = 1220598^2 + 794023^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120332002133 - 2²⁹ = 2119795131221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120332002193) 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, 1060166001066 + 1060166001067.

It is an arithmetic number, because the mean of its divisors is an integer number (1060166001067).

Almost surely, 2^{2120332002133} is an apocalyptic number.

It is an amenable number.

2120332002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120332002133 is an equidigital number, since it uses as much as digits as its factorization.

2120332002133 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 22.

Adding to 2120332002133 its reverse (3312002330212), we get a palindrome (5432334332345).

The spelling of 2120332002133 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, two thousand, one hundred thirty-three".