13318691120640 has 1920 divisors, whose sum is σ = 51239912435712. Its totient is φ = 3310381301760.

The previous prime is 13318691120633. The next prime is 13318691120641. The reversal of 13318691120640 is 4602119681331.

13318691120640 is a `hidden beast` number, since 1 + 3 + 318 + 6 + 91 + 1 + 206 + 40 = 666.

13318691120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318691120641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84832427442 + ... + 84832427598.

Almost surely, 2^{13318691120640} is an apocalyptic number.

13318691120640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13318691120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25619956217856).

13318691120640 is an abundant number, since it is smaller than the sum of its proper divisors (37921221315072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13318691120640 is an equidigital number, since it uses as much as digits as its factorization.

13318691120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13318691120640 in words is "thirteen trillion, three hundred eighteen billion, six hundred ninety-one million, one hundred twenty thousand, six hundred forty".