165210144001213 has 2 divisors, whose sum is σ = 165210144001214. Its totient is φ = 165210144001212.

The previous prime is 165210144001187. The next prime is 165210144001261. The reversal of 165210144001213 is 312100441012561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99052694160484 + 66157449840729 = 9952522^2 + 8133723^2 .

It is an emirp because it is prime and its reverse (312100441012561) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165210144001213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165210144001813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82605072000606 + 82605072000607.

It is an arithmetic number, because the mean of its divisors is an integer number (82605072000607).

Almost surely, 2^{165210144001213} is an apocalyptic number.

It is an amenable number.

165210144001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

165210144001213 is an equidigital number, since it uses as much as digits as its factorization.

165210144001213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 165210144001213 its reverse (312100441012561), we get a palindrome (477310585013774).

The spelling of 165210144001213 in words is "one hundred sixty-five trillion, two hundred ten billion, one hundred forty-four million, one thousand, two hundred thirteen".