131013523504313 has 2 divisors, whose sum is σ = 131013523504314. Its totient is φ = 131013523504312.

The previous prime is 131013523504273. The next prime is 131013523504327. The reversal of 131013523504313 is 313405325310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127408830152704 + 3604693351609 = 11287552^2 + 1898603^2 .

It is an emirp because it is prime and its reverse (313405325310131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131013523504313 - 2¹⁸ = 131013523242169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131013523504373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506761752156 + 65506761752157.

It is an arithmetic number, because the mean of its divisors is an integer number (65506761752157).

Almost surely, 2^{131013523504313} is an apocalyptic number.

It is an amenable number.

131013523504313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131013523504313 is an equidigital number, since it uses as much as digits as its factorization.

131013523504313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 131013523504313 its reverse (313405325310131), we get a palindrome (444418848814444).

The spelling of 131013523504313 in words is "one hundred thirty-one trillion, thirteen billion, five hundred twenty-three million, five hundred four thousand, three hundred thirteen".