131729220105 has 64 divisors (see below), whose sum is σ = 246857656320. Its totient is φ = 58728047616.

The previous prime is 131729220083. The next prime is 131729220113. The reversal of 131729220105 is 501022927131.

It is not a de Polignac number, because 131729220105 - 2⁶ = 131729220041 is a prime.

It is a super-2 number, since 2×131729220105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2953249 + ... + 2997521.

It is an arithmetic number, because the mean of its divisors is an integer number (3857150880).

Almost surely, 2^131729220105 is an apocalyptic number.

131729220105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131729220105 is a deficient number, since it is larger than the sum of its proper divisors (115128436215).

131729220105 is a wasteful number, since it uses less digits than its factorization.

131729220105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44990.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 131729220105 in words is "one hundred thirty-one billion, seven hundred twenty-nine million, two hundred twenty thousand, one hundred five".