1361205653013 has 96 divisors (see below), whose sum is σ = 2039860817280. Its totient is φ = 874370764800.

The previous prime is 1361205653011. The next prime is 1361205653021. The reversal of 1361205653013 is 3103565021631.

1361205653013 is a `hidden beast` number, since 1 + 3 + 61 + 2 + 0 + 56 + 530 + 13 = 666.

It is not a de Polignac number, because 1361205653013 - 2¹ = 1361205653011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361205653011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3072698770 + ... + 3072699212.

It is an arithmetic number, because the mean of its divisors is an integer number (21248550180).

Almost surely, 2^{1361205653013} is an apocalyptic number.

It is an amenable number.

1361205653013 is a deficient number, since it is larger than the sum of its proper divisors (678655164267).

1361205653013 is a wasteful number, since it uses less digits than its factorization.

1361205653013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 1361205653013 in words is "one trillion, three hundred sixty-one billion, two hundred five million, six hundred fifty-three thousand, thirteen".