13378721345 has 48 divisors (see below), whose sum is σ = 17973156096. Its totient is φ = 9551203200.

The previous prime is 13378721339. The next prime is 13378721347. The reversal of 13378721345 is 54312787331.

It is a happy number.

13378721345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13378721345 - 2⁶ = 13378721281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13378721296 and 13378721305.

It is not an unprimeable number, because it can be changed into a prime (13378721347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12585284 + ... + 12586346.

It is an arithmetic number, because the mean of its divisors is an integer number (374440752).

Almost surely, 2^13378721345 is an apocalyptic number.

It is an amenable number.

13378721345 is a deficient number, since it is larger than the sum of its proper divisors (4594434751).

13378721345 is a wasteful number, since it uses less digits than its factorization.

13378721345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1443 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The spelling of 13378721345 in words is "thirteen billion, three hundred seventy-eight million, seven hundred twenty-one thousand, three hundred forty-five".