13140345331305 has 32 divisors (see below), whose sum is σ = 23479195766400. Its totient is φ = 6972609623616.

The previous prime is 13140345331303. The next prime is 13140345331349. The reversal of 13140345331305 is 50313354304131.

It is a happy number.

13140345331305 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 345 + 3 + 3 + 1 + 305 = 666.

It is not a de Polignac number, because 13140345331305 - 2¹ = 13140345331303 is a prime.

It is a super-2 number, since 2×13140345331305² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13140345331305.

It is not an unprimeable number, because it can be changed into a prime (13140345331303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247018815 + ... + 247072004.

It is an arithmetic number, because the mean of its divisors is an integer number (733724867700).

Almost surely, 2^{13140345331305} is an apocalyptic number.

13140345331305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140345331305 is a deficient number, since it is larger than the sum of its proper divisors (10338850435095).

13140345331305 is a wasteful number, since it uses less digits than its factorization.

13140345331305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494091030 (or 494091024 counting only the distinct ones).

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

Adding to 13140345331305 its reverse (50313354304131), we get a palindrome (63453699635436).

The spelling of 13140345331305 in words is "thirteen trillion, one hundred forty billion, three hundred forty-five million, three hundred thirty-one thousand, three hundred five".