2141350566337 has 2 divisors, whose sum is σ = 2141350566338. Its totient is φ = 2141350566336.

The previous prime is 2141350566283. The next prime is 2141350566349. The reversal of 2141350566337 is 7336650531412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2064046549041 + 77304017296 = 1436679^2 + 278036^2 .

It is a cyclic number.

It is not a de Polignac number, because 2141350566337 - 2⁷ = 2141350566209 is a prime.

It is a super-3 number, since 3×2141350566337³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2141350563337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070675283168 + 1070675283169.

It is an arithmetic number, because the mean of its divisors is an integer number (1070675283169).

Almost surely, 2^{2141350566337} is an apocalyptic number.

It is an amenable number.

2141350566337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2141350566337 is an equidigital number, since it uses as much as digits as its factorization.

2141350566337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 2141350566337 in words is "two trillion, one hundred forty-one billion, three hundred fifty million, five hundred sixty-six thousand, three hundred thirty-seven".