13133449541160 has 640 divisors, whose sum is σ = 47850089364000. Its totient is φ = 3211732353024.

The previous prime is 13133449541131. The next prime is 13133449541161. The reversal of 13133449541160 is 6114594433131.

13133449541160 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 4 + 49 + 541 + 1 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 180317431044 + 12953132110116 = 424638^2 + 3599046^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13133449541161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5488276924 + ... + 5488279316.

Almost surely, 2^{13133449541160} is an apocalyptic number.

13133449541160 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 13133449541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925044682000).

13133449541160 is an abundant number, since it is smaller than the sum of its proper divisors (34716639822840).

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

13133449541160 is a wasteful number, since it uses less digits than its factorization.

13133449541160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13133449541160 in words is "thirteen trillion, one hundred thirty-three billion, four hundred forty-nine million, five hundred forty-one thousand, one hundred sixty".