13481480013120 has 448 divisors, whose sum is σ = 54554537779200. Its totient is φ = 3070106634240.

The previous prime is 13481480013061. The next prime is 13481480013143. The reversal of 13481480013120 is 2131008418431.

13481480013120 is a `hidden beast` number, since 1 + 3 + 48 + 1 + 480 + 0 + 13 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15978811 + ... + 16801349.

Almost surely, 2^{13481480013120} is an apocalyptic number.

13481480013120 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 13481480013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27277268889600).

13481480013120 is an abundant number, since it is smaller than the sum of its proper divisors (41073057766080).

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

13481480013120 is a wasteful number, since it uses less digits than its factorization.

13481480013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822843 (or 822827 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13481480013120 in words is "thirteen trillion, four hundred eighty-one billion, four hundred eighty million, thirteen thousand, one hundred twenty".