13136155163131 has 128 divisors (see below), whose sum is σ = 17901393979392. Its totient is φ = 9386002137600.

The previous prime is 13136155163123. The next prime is 13136155163143.

13136155163131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13136155163131 - 2³ = 13136155163123 is a prime.

It is a super-2 number, since 2×13136155163131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13136155164131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20116623201 + ... + 20116623853.

It is an arithmetic number, because the mean of its divisors is an integer number (139854640464).

Almost surely, 2^{13136155163131} is an apocalyptic number.

13136155163131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13136155163131 is a deficient number, since it is larger than the sum of its proper divisors (4765238816261).

13136155163131 is a wasteful number, since it uses less digits than its factorization.

13136155163131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1532 counting only the distinct ones).

The product of its digits is 72900, while the sum is 40.

It can be divided in two parts, 1313615 and 5163131, that added together give a palindrome (6476746).

The spelling of 13136155163131 in words is "thirteen trillion, one hundred thirty-six billion, one hundred fifty-five million, one hundred sixty-three thousand, one hundred thirty-one".