131326261313 has 36 divisors (see below), whose sum is σ = 145876655988. Its totient is φ = 117515750400.

The previous prime is 131326261309. The next prime is 131326261337. The reversal of 131326261313 is 313162623131.

It can be written as a sum of positive squares in 18 ways, for example, as 33786851344 + 97539409969 = 183812^2 + 312313^2 .

It is not a de Polignac number, because 131326261313 - 2² = 131326261309 is a prime.

Its product of digits (11664) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 131326261313.

It is not an unprimeable number, because it can be changed into a prime (131326267313) 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 in 35 ways as a sum of consecutive naturals, for example, 958585781 + ... + 958585917.

It is an arithmetic number, because the mean of its divisors is an integer number (4052129333).

Almost surely, 2^131326261313 is an apocalyptic number.

131326261313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131326261313 is a deficient number, since it is larger than the sum of its proper divisors (14550394675).

131326261313 is an equidigital number, since it uses as much as digits as its factorization.

131326261313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 324 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

Adding to 131326261313 its reverse (313162623131), we get a palindrome (444488884444).

The spelling of 131326261313 in words is "one hundred thirty-one billion, three hundred twenty-six million, two hundred sixty-one thousand, three hundred thirteen".