135264555107321 has 2 divisors, whose sum is σ = 135264555107322. Its totient is φ = 135264555107320.

The previous prime is 135264555107293. The next prime is 135264555107323. The reversal of 135264555107321 is 123701555462531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126857083717225 + 8407471390096 = 11263085^2 + 2899564^2 .

It is a cyclic number.

It is not a de Polignac number, because 135264555107321 - 2¹⁰ = 135264555106297 is a prime.

It is a super-3 number, since 3×135264555107321³ (a number of 43 digits) contains 333 as substring.

Together with 135264555107323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135264555107321.

It is not a weakly prime, because it can be changed into another prime (135264555107323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67632277553660 + 67632277553661.

It is an arithmetic number, because the mean of its divisors is an integer number (67632277553661).

Almost surely, 2^{135264555107321} is an apocalyptic number.

It is an amenable number.

135264555107321 is a deficient number, since it is larger than the sum of its proper divisors (1).

135264555107321 is an equidigital number, since it uses as much as digits as its factorization.

135264555107321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 135264555107321 in words is "one hundred thirty-five trillion, two hundred sixty-four billion, five hundred fifty-five million, one hundred seven thousand, three hundred twenty-one".