2133232002113 has 2 divisors, whose sum is σ = 2133232002114. Its totient is φ = 2133232002112.

The previous prime is 2133232002107. The next prime is 2133232002163. The reversal of 2133232002113 is 3112002323312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1562282507569 + 570949494544 = 1249913^2 + 755612^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133232002113 - 2¹² = 2133231998017 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133232002163) 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 as a sum of consecutive naturals, namely, 1066616001056 + 1066616001057.

It is an arithmetic number, because the mean of its divisors is an integer number (1066616001057).

Almost surely, 2^{2133232002113} is an apocalyptic number.

It is an amenable number.

2133232002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133232002113 is an equidigital number, since it uses as much as digits as its factorization.

2133232002113 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 2133232002113 its reverse (3112002323312), we get a palindrome (5245234325425).

The spelling of 2133232002113 in words is "two trillion, one hundred thirty-three billion, two hundred thirty-two million, two thousand, one hundred thirteen".