131721817761105 has 256 divisors, whose sum is σ = 249922914877440. Its totient is φ = 58402850688000.

The previous prime is 131721817761103. The next prime is 131721817761109. The reversal of 131721817761105 is 501167718127131.

It is a happy number.

It is not a de Polignac number, because 131721817761105 - 2¹ = 131721817761103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131721817761103) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125329987830 + ... + 125329988880.

It is an arithmetic number, because the mean of its divisors is an integer number (976261386240).

Almost surely, 2^{131721817761105} is an apocalyptic number.

131721817761105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131721817761105 is a deficient number, since it is larger than the sum of its proper divisors (118201097116335).

131721817761105 is a wasteful number, since it uses less digits than its factorization.

131721817761105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332.

The product of its (nonzero) digits is 493920, while the sum is 51.

The spelling of 131721817761105 in words is "one hundred thirty-one trillion, seven hundred twenty-one billion, eight hundred seventeen million, seven hundred sixty-one thousand, one hundred five".