13135045452173 has 2 divisors, whose sum is σ = 13135045452174. Its totient is φ = 13135045452172.

The previous prime is 13135045452157. The next prime is 13135045452247. The reversal of 13135045452173 is 37125454053131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12463632369769 + 671413082404 = 3530387^2 + 819398^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135045452173 - 2⁴ = 13135045452157 is a prime.

It is a super-3 number, since 3×13135045452173³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13135045451173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567522726086 + 6567522726087.

It is an arithmetic number, because the mean of its divisors is an integer number (6567522726087).

Almost surely, 2^{13135045452173} is an apocalyptic number.

It is an amenable number.

13135045452173 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135045452173 is an equidigital number, since it uses as much as digits as its factorization.

13135045452173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 13135045452173 in words is "thirteen trillion, one hundred thirty-five billion, forty-five million, four hundred fifty-two thousand, one hundred seventy-three".