131031310321 has 2 divisors, whose sum is σ = 131031310322. Its totient is φ = 131031310320.

The previous prime is 131031310309. The next prime is 131031310337. The reversal of 131031310321 is 123013130131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97381443600 + 33649866721 = 312060^2 + 183439^2 .

It is a cyclic number.

It is not a de Polignac number, because 131031310321 - 2³³ = 122441375729 is a prime.

It is a super-2 number, since 2×131031310321² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131031310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65515655160 + 65515655161.

It is an arithmetic number, because the mean of its divisors is an integer number (65515655161).

Almost surely, 2^131031310321 is an apocalyptic number.

It is an amenable number.

131031310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131031310321 is an equidigital number, since it uses as much as digits as its factorization.

131031310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131031310321 its reverse (123013130131), we get a palindrome (254044440452).

The spelling of 131031310321 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, three hundred twenty-one".