131728766401 has 4 divisors (see below), whose sum is σ = 131737669204. Its totient is φ = 131719863600.

The previous prime is 131728766399. The next prime is 131728766443. The reversal of 131728766401 is 104667827131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104667827131 = 7 ⋅14952546733.

It can be written as a sum of positive squares in 2 ways, for example, as 100311558400 + 31417208001 = 316720^2 + 177249^2 .

It is a cyclic number.

It is not a de Polignac number, because 131728766401 - 2¹ = 131728766399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131728766461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4429170 + ... + 4458811.

It is an arithmetic number, because the mean of its divisors is an integer number (32934417301).

Almost surely, 2^131728766401 is an apocalyptic number.

It is an amenable number.

131728766401 is a deficient number, since it is larger than the sum of its proper divisors (8902803).

131728766401 is an equidigital number, since it uses as much as digits as its factorization.

131728766401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902802.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 131728766401 in words is "one hundred thirty-one billion, seven hundred twenty-eight million, seven hundred sixty-six thousand, four hundred one".