13146315345 has 48 divisors (see below), whose sum is σ = 23144060160. Its totient is φ = 6902019072.

The previous prime is 13146315337. The next prime is 13146315361. The reversal of 13146315345 is 54351364131.

13146315345 is a `hidden beast` number, since 1 + 3 + 1 + 463 + 153 + 45 = 666.

13146315345 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 13146315345 - 2³ = 13146315337 is a prime.

It is an unprimeable number.

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, 1228257 + ... + 1238913.

It is an arithmetic number, because the mean of its divisors is an integer number (482167920).

Almost surely, 2^13146315345 is an apocalyptic number.

13146315345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13146315345 is a deficient number, since it is larger than the sum of its proper divisors (9997744815).

13146315345 is a wasteful number, since it uses less digits than its factorization.

13146315345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11091 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 13146315345 its reverse (54351364131), we get a palindrome (67497679476).

The spelling of 13146315345 in words is "thirteen billion, one hundred forty-six million, three hundred fifteen thousand, three hundred forty-five".