13710505356135 has 48 divisors (see below), whose sum is σ = 27160858910016. Its totient is φ = 6267428665344.

The previous prime is 13710505356113. The next prime is 13710505356151. The reversal of 13710505356135 is 53165350501731.

13710505356135 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 0 + 5 + 0 + 53 + 561 + 35 = 666.

It is not a de Polignac number, because 13710505356135 - 2¹⁸ = 13710505093991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7911337 + ... + 9487373.

It is an arithmetic number, because the mean of its divisors is an integer number (565851227292).

Almost surely, 2^{13710505356135} is an apocalyptic number.

13710505356135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13710505356135 is a deficient number, since it is larger than the sum of its proper divisors (13450353553881).

13710505356135 is a wasteful number, since it uses less digits than its factorization.

13710505356135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603672 (or 1603669 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 45.

Adding to 13710505356135 its reverse (53165350501731), we get a palindrome (66875855857866).

The spelling of 13710505356135 in words is "thirteen trillion, seven hundred ten billion, five hundred five million, three hundred fifty-six thousand, one hundred thirty-five".