1363135316205 has 96 divisors (see below), whose sum is σ = 2502615709440. Its totient is φ = 631101419520.

The previous prime is 1363135316189. The next prime is 1363135316219. The reversal of 1363135316205 is 5026135313631.

It is not a de Polignac number, because 1363135316205 - 2⁴ = 1363135316189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 56830315 + ... + 56854295.

It is an arithmetic number, because the mean of its divisors is an integer number (26068913640).

Almost surely, 2^{1363135316205} is an apocalyptic number.

1363135316205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1363135316205 is a deficient number, since it is larger than the sum of its proper divisors (1139480393235).

1363135316205 is a wasteful number, since it uses less digits than its factorization.

1363135316205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25351 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

The spelling of 1363135316205 in words is "one trillion, three hundred sixty-three billion, one hundred thirty-five million, three hundred sixteen thousand, two hundred five".