2133313314817 has 2 divisors, whose sum is σ = 2133313314818. Its totient is φ = 2133313314816.

The previous prime is 2133313314809. The next prime is 2133313314851. The reversal of 2133313314817 is 7184133133312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1389908955136 + 743404359681 = 1178944^2 + 862209^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133313314817 - 2³ = 2133313314809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2133313314817.

It is not a weakly prime, because it can be changed into another prime (2133313314017) 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, 1066656657408 + 1066656657409.

It is an arithmetic number, because the mean of its divisors is an integer number (1066656657409).

Almost surely, 2^{2133313314817} is an apocalyptic number.

It is an amenable number.

2133313314817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133313314817 is an equidigital number, since it uses as much as digits as its factorization.

2133313314817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 40.

The spelling of 2133313314817 in words is "two trillion, one hundred thirty-three billion, three hundred thirteen million, three hundred fourteen thousand, eight hundred seventeen".