13118353920 has 640 divisors, whose sum is σ = 56096409600. Its totient is φ = 2838675456.

The previous prime is 13118353907. The next prime is 13118353921. The reversal of 13118353920 is 2935381131.

13118353920 is a `hidden beast` number, since 1 + 3 + 118 + 3 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13118353921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192247 + ... + 9193673.

It is an arithmetic number, because the mean of its divisors is an integer number (87650640).

Almost surely, 2^13118353920 is an apocalyptic number.

13118353920 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 13118353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048204800).

13118353920 is an abundant number, since it is smaller than the sum of its proper divisors (42978055680).

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

13118353920 is a wasteful number, since it uses less digits than its factorization.

13118353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13118353920 in words is "thirteen billion, one hundred eighteen million, three hundred fifty-three thousand, nine hundred twenty".