131036124066161 has 16 divisors (see below), whose sum is σ = 135917189243088. Its totient is φ = 126231677337600.

The previous prime is 131036124066151. The next prime is 131036124066217. The reversal of 131036124066161 is 161660421630131.

It can be written as a sum of positive squares in 8 ways, for example, as 75280871367025 + 55755252699136 = 8676455^2 + 7466944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131036124066161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131036124066151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40928720 + ... + 44014001.

It is an arithmetic number, because the mean of its divisors is an integer number (8494824327693).

Almost surely, 2^{131036124066161} is an apocalyptic number.

It is an amenable number.

131036124066161 is a deficient number, since it is larger than the sum of its proper divisors (4881065176927).

131036124066161 is a wasteful number, since it uses less digits than its factorization.

131036124066161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84943172.

The product of its (nonzero) digits is 93312, while the sum is 41.

Adding to 131036124066161 its reverse (161660421630131), we get a palindrome (292696545696292).

The spelling of 131036124066161 in words is "one hundred thirty-one trillion, thirty-six billion, one hundred twenty-four million, sixty-six thousand, one hundred sixty-one".