2133002103313 has 2 divisors, whose sum is σ = 2133002103314. Its totient is φ = 2133002103312.

The previous prime is 2133002103307. The next prime is 2133002103359. The reversal of 2133002103313 is 3133012003312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1234358774289 + 898643329024 = 1111017^2 + 947968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2133002103313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133002103373) 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, 1066501051656 + 1066501051657.

It is an arithmetic number, because the mean of its divisors is an integer number (1066501051657).

Almost surely, 2^{2133002103313} is an apocalyptic number.

It is an amenable number.

2133002103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133002103313 is an equidigital number, since it uses as much as digits as its factorization.

2133002103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2133002103313 its reverse (3133012003312), we get a palindrome (5266014106625).

The spelling of 2133002103313 in words is "two trillion, one hundred thirty-three billion, two million, one hundred three thousand, three hundred thirteen".