1362616340013 has 24 divisors (see below), whose sum is σ = 2021668428728. Its totient is φ = 883750113792.

The previous prime is 1362616340011. The next prime is 1362616340089. The reversal of 1362616340013 is 3100436162631.

1362616340013 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 6 + 1 + 634 + 0 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6260290884 + 1356356049129 = 79122^2 + 1164627^2 .

It is not a de Polignac number, because 1362616340013 - 2¹ = 1362616340011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1362616340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362616340011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2493081 + ... + 2990097.

Almost surely, 2^{1362616340013} is an apocalyptic number.

It is an amenable number.

1362616340013 is a deficient number, since it is larger than the sum of its proper divisors (659052088715).

1362616340013 is a wasteful number, since it uses less digits than its factorization.

1362616340013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505293 (or 505290 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1362616340013 in words is "one trillion, three hundred sixty-two billion, six hundred sixteen million, three hundred forty thousand, thirteen".