131540131132345 has 16 divisors (see below), whose sum is σ = 170006010325200. Its totient is φ = 97128363596544.

The previous prime is 131540131132331. The next prime is 131540131132433. The reversal of 131540131132345 is 543231131045131.

It can be written as a sum of positive squares in 8 ways, for example, as 17367422795776 + 114172708336569 = 4167424^2 + 10685163^2 .

It is a cyclic number.

It is not a de Polignac number, because 131540131132345 - 2⁹ = 131540131131833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92665270 + ... + 94074079.

It is an arithmetic number, because the mean of its divisors is an integer number (10625375645325).

Almost surely, 2^{131540131132345} is an apocalyptic number.

It is an amenable number.

131540131132345 is a deficient number, since it is larger than the sum of its proper divisors (38465879192855).

131540131132345 is a wasteful number, since it uses less digits than its factorization.

131540131132345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186750204.

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 131540131132345 its reverse (543231131045131), we get a palindrome (674771262177476).

The spelling of 131540131132345 in words is "one hundred thirty-one trillion, five hundred forty billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred forty-five".