13140345313503 has 48 divisors (see below), whose sum is σ = 19416760444224. Its totient is φ = 8560277107200.

The previous prime is 13140345313489. The next prime is 13140345313541. The reversal of 13140345313503 is 30531354304131.

It is a happy number.

13140345313503 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 34 + 531 + 3 + 50 + 3 = 666.

It is not a de Polignac number, because 13140345313503 - 2⁵ = 13140345313471 is a prime.

It is a super-3 number, since 3×13140345313503³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140345311503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132145603 + ... + 132245003.

It is an arithmetic number, because the mean of its divisors is an integer number (404515842588).

Almost surely, 2^{13140345313503} is an apocalyptic number.

13140345313503 is a deficient number, since it is larger than the sum of its proper divisors (6276415130721).

13140345313503 is a wasteful number, since it uses less digits than its factorization.

13140345313503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100576 (or 100573 counting only the distinct ones).

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

Adding to 13140345313503 its reverse (30531354304131), we get a palindrome (43671699617634).

The spelling of 13140345313503 in words is "thirteen trillion, one hundred forty billion, three hundred forty-five million, three hundred thirteen thousand, five hundred three".