13140241314135 has 64 divisors (see below), whose sum is σ = 24013379045376. Its totient is φ = 6086340057600.

The previous prime is 13140241314131. The next prime is 13140241314169. The reversal of 13140241314135 is 53141314204131.

It is a happy number.

It is not a de Polignac number, because 13140241314135 - 2² = 13140241314131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13140241314096 and 13140241314105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140241314131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23741331 + ... + 24288500.

It is an arithmetic number, because the mean of its divisors is an integer number (375209047584).

Almost surely, 2^{13140241314135} is an apocalyptic number.

13140241314135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13140241314135 is a deficient number, since it is larger than the sum of its proper divisors (10873137731241).

13140241314135 is a wasteful number, since it uses less digits than its factorization.

13140241314135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48029936.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 13140241314135 its reverse (53141314204131), we get a palindrome (66281555518266).

The spelling of 13140241314135 in words is "thirteen trillion, one hundred forty billion, two hundred forty-one million, three hundred fourteen thousand, one hundred thirty-five".