13114131300135 has 48 divisors (see below), whose sum is σ = 23723217745344. Its totient is φ = 6689051145216.

The previous prime is 13114131300119. The next prime is 13114131300209. The reversal of 13114131300135 is 53100313141131.

13114131300135 is a `hidden beast` number, since 1 + 311 + 4 + 1 + 31 + 300 + 13 + 5 = 666.

It is not a de Polignac number, because 13114131300135 - 2⁴ = 13114131300119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13114131300099 and 13114131300108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5578137 + ... + 7572573.

It is an arithmetic number, because the mean of its divisors is an integer number (494233703028).

Almost surely, 2^{13114131300135} is an apocalyptic number.

13114131300135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13114131300135 is a deficient number, since it is larger than the sum of its proper divisors (10609086445209).

13114131300135 is a wasteful number, since it uses less digits than its factorization.

13114131300135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000824 (or 2000821 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 13114131300135 its reverse (53100313141131), we get a palindrome (66214444441266).

The spelling of 13114131300135 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-one million, three hundred thousand, one hundred thirty-five".