13381355520 has 960 divisors, whose sum is σ = 55439944560. Its totient is φ = 3057647616.

The previous prime is 13381355489. The next prime is 13381355527. The reversal of 13381355520 is 2555318331.

13381355520 is a `hidden beast` number, since 1 + 3 + 3 + 81 + 3 + 55 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5563966464 + 7817389056 = 74592^2 + 88416^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (13381355527) 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 79 ways as a sum of consecutive naturals, for example, 183306204 + ... + 183306276.

Almost surely, 2^13381355520 is an apocalyptic number.

13381355520 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 13381355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27719972280).

13381355520 is an abundant number, since it is smaller than the sum of its proper divisors (42058589040).

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

13381355520 is a wasteful number, since it uses less digits than its factorization.

13381355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13381355520 in words is "thirteen billion, three hundred eighty-one million, three hundred fifty-five thousand, five hundred twenty".