5105314134135 has 96 divisors (see below), whose sum is σ = 9349226385408. Its totient is φ = 2571965975040.

The previous prime is 5105314134131. The next prime is 5105314134169. The reversal of 5105314134135 is 5314314135015.

5105314134135 is a `hidden beast` number, since 5 + 10 + 531 + 41 + 3 + 41 + 35 = 666.

It is not a de Polignac number, because 5105314134135 - 2² = 5105314134131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5105314134135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105314134131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222568387 + ... + 222591323.

It is an arithmetic number, because the mean of its divisors is an integer number (97387774848).

Almost surely, 2^{5105314134135} is an apocalyptic number.

5105314134135 is a deficient number, since it is larger than the sum of its proper divisors (4243912251273).

5105314134135 is a wasteful number, since it uses less digits than its factorization.

5105314134135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25645 (or 25642 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 5105314134135 in words is "five trillion, one hundred five billion, three hundred fourteen million, one hundred thirty-four thousand, one hundred thirty-five".