1213405320305 has 8 divisors (see below), whose sum is σ = 1457523790632. Its totient is φ = 969765985408.

The previous prime is 1213405320289. The next prime is 1213405320331. The reversal of 1213405320305 is 5030235043121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104042373136 + 1109362947169 = 322556^2 + 1053263^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1213405320305 - 2⁴ = 1213405320289 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 119778284 + ... + 119788413.

It is an arithmetic number, because the mean of its divisors is an integer number (182190473829).

Almost surely, 2^{1213405320305} is an apocalyptic number.

It is an amenable number.

1213405320305 is a deficient number, since it is larger than the sum of its proper divisors (244118470327).

1213405320305 is a wasteful number, since it uses less digits than its factorization.

1213405320305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239567715.

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 1213405320305 in words is "one trillion, two hundred thirteen billion, four hundred five million, three hundred twenty thousand, three hundred five".