131365666563131 has 192 divisors, whose sum is σ = 184549499366400. Its totient is φ = 90941637980160.

The previous prime is 131365666563097. The next prime is 131365666563137.

131365666563131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131365666563131 - 2⁴² = 126967620052027 is a prime.

It is a super-2 number, since 2×131365666563131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131365666563137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6497129540 + ... + 6497149758.

It is an arithmetic number, because the mean of its divisors is an integer number (961195309200).

Almost surely, 2^{131365666563131} is an apocalyptic number.

131365666563131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131365666563131 is a deficient number, since it is larger than the sum of its proper divisors (53183832803269).

131365666563131 is a wasteful number, since it uses less digits than its factorization.

131365666563131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20530 (or 20519 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 56.

The spelling of 131365666563131 in words is "one hundred thirty-one trillion, three hundred sixty-five billion, six hundred sixty-six million, five hundred sixty-three thousand, one hundred thirty-one".