131629968133185 has 24 divisors (see below), whose sum is σ = 215184310114176. Its totient is φ = 68708976256480.

The previous prime is 131629968133123. The next prime is 131629968133189. The reversal of 131629968133185 is 581331869926131.

It is not a de Polignac number, because 131629968133185 - 2¹⁸ = 131629967871041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131629968133189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986234681 + ... + 1986300950.

It is an arithmetic number, because the mean of its divisors is an integer number (8966012921424).

Almost surely, 2^{131629968133185} is an apocalyptic number.

131629968133185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131629968133185 is a deficient number, since it is larger than the sum of its proper divisors (83554341980991).

131629968133185 is an equidigital number, since it uses as much as digits as its factorization.

131629968133185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972535733 (or 3972535686 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 66.

The spelling of 131629968133185 in words is "one hundred thirty-one trillion, six hundred twenty-nine billion, nine hundred sixty-eight million, one hundred thirty-three thousand, one hundred eighty-five".