13140234402345 has 64 divisors (see below), whose sum is σ = 23536373184000. Its totient is φ = 6955513804800.

The previous prime is 13140234402341. The next prime is 13140234402349. The reversal of 13140234402345 is 54320443204131.

13140234402345 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 234 + 40 + 2 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (13140234402341) and next prime (13140234402349).

It is not a de Polignac number, because 13140234402345 - 2² = 13140234402341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13140234402341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10162989 + ... + 11382741.

It is an arithmetic number, because the mean of its divisors is an integer number (367755831000).

Almost surely, 2^{13140234402345} is an apocalyptic number.

13140234402345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140234402345 is a deficient number, since it is larger than the sum of its proper divisors (10396138781655).

13140234402345 is a wasteful number, since it uses less digits than its factorization.

13140234402345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220367 (or 1220361 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13140234402345 its reverse (54320443204131), we get a palindrome (67460677606476).

The spelling of 13140234402345 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-four million, four hundred two thousand, three hundred forty-five".