13193317494720 has 336 divisors, whose sum is σ = 50183083877472. Its totient is φ = 3154566021120.

The previous prime is 13193317494631. The next prime is 13193317494743. The reversal of 13193317494720 is 2749471339131.

It is a happy number.

13193317494720 is a `hidden beast` number, since 1 + 31 + 93 + 3 + 17 + 49 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539797 + ... + 5165076.

It is an arithmetic number, because the mean of its divisors is an integer number (149354416302).

Almost surely, 2^{13193317494720} is an apocalyptic number.

13193317494720 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 13193317494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091541938736).

13193317494720 is an abundant number, since it is smaller than the sum of its proper divisors (36989766382752).

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

13193317494720 is a wasteful number, since it uses less digits than its factorization.

13193317494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704980 (or 5704967 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 13193317494720 in words is "thirteen trillion, one hundred ninety-three billion, three hundred seventeen million, four hundred ninety-four thousand, seven hundred twenty".