13134133143131 has 64 divisors (see below), whose sum is σ = 19106205060096. Its totient is φ = 8684637696000.

The previous prime is 13134133143071. The next prime is 13134133143181.

13134133143131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-13134133143131 is a prime.

It is a super-2 number, since 2×13134133143131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134133143181) 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, 8242970 + ... + 9706431.

It is an arithmetic number, because the mean of its divisors is an integer number (298534454064).

Almost surely, 2^{13134133143131} is an apocalyptic number.

13134133143131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13134133143131 is a deficient number, since it is larger than the sum of its proper divisors (5972071916965).

13134133143131 is a wasteful number, since it uses less digits than its factorization.

13134133143131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17949492.

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 1313413 and 3143131, that added together give a palindrome (4456544).

The spelling of 13134133143131 in words is "thirteen trillion, one hundred thirty-four billion, one hundred thirty-three million, one hundred forty-three thousand, one hundred thirty-one".