131053979390161 has 9 divisors (see below), whose sum is σ = 131396210000881. Its totient is φ = 130712637922384.

The previous prime is 131053979390119. The next prime is 131053979390167. The reversal of 131053979390161 is 161093979350131.

The square root of 131053979390161 is 11447881.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7307933615761 + 123746045774400 = 2703319^2 + 11124120^2 .

It is not a de Polignac number, because 131053979390161 - 2⁹ = 131053979389649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131053979390096 and 131053979390105.

It is not an unprimeable number, because it can be changed into a prime (131053979390167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4453210995 + ... + 4453240423.

Almost surely, 2^{131053979390161} is an apocalyptic number.

131053979390161 is the 11447881-st square number.

131053979390161 is the 5723941-st centered octagonal number.

It is an amenable number.

131053979390161 is a deficient number, since it is larger than the sum of its proper divisors (342230610720).

131053979390161 is an frugal number, since it uses more digits than its factorization.

131053979390161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59636 (or 29818 counting only the distinct ones).

The product of its (nonzero) digits is 4133430, while the sum is 58.

The spelling of 131053979390161 in words is "one hundred thirty-one trillion, fifty-three billion, nine hundred seventy-nine million, three hundred ninety thousand, one hundred sixty-one".