131431314313 has 16 divisors (see below), whose sum is σ = 143486582400. Its totient is φ = 119658824064.

The previous prime is 131431314281. The next prime is 131431314361. The reversal of 131431314313 is 313413134131.

It is a happy number.

It is not a de Polignac number, because 131431314313 - 2⁵ = 131431314281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131434314313) 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, 544645 + ... + 747997.

It is an arithmetic number, because the mean of its divisors is an integer number (8967911400).

Almost surely, 2^131431314313 is an apocalyptic number.

131431314313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131431314313 is a deficient number, since it is larger than the sum of its proper divisors (12055268087).

131431314313 is a wasteful number, since it uses less digits than its factorization.

131431314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204048.

The product of its digits is 3888, while the sum is 28.

Adding to 131431314313 its reverse (313413134131), we get a palindrome (444844448444).

The spelling of 131431314313 in words is "one hundred thirty-one billion, four hundred thirty-one million, three hundred fourteen thousand, three hundred thirteen".