13003566345 has 144 divisors (see below), whose sum is σ = 28903125888. Its totient is φ = 5347399680.

The previous prime is 13003566341. The next prime is 13003566349. The reversal of 13003566345 is 54366530031.

13003566345 is a `hidden beast` number, since 1 + 300 + 3 + 5 + 6 + 6 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (13003566341) and next prime (13003566349).

It is not a de Polignac number, because 13003566345 - 2² = 13003566341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13003566341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2349972 + ... + 2355498.

It is an arithmetic number, because the mean of its divisors is an integer number (200716152).

Almost surely, 2^13003566345 is an apocalyptic number.

13003566345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13003566345 is an abundant number, since it is smaller than the sum of its proper divisors (15899559543).

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

13003566345 is a wasteful number, since it uses less digits than its factorization.

13003566345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 13003566345 in words is "thirteen billion, three million, five hundred sixty-six thousand, three hundred forty-five".