131183131313 has 16 divisors (see below), whose sum is σ = 144071733456. Its totient is φ = 118698378240.

The previous prime is 131183131297. The next prime is 131183131333. The reversal of 131183131313 is 313131381131.

It can be written as a sum of positive squares in 8 ways, for example, as 19798741264 + 111384390049 = 140708^2 + 333743^2 .

It is not a de Polignac number, because 131183131313 - 2⁴ = 131183131297 is a prime.

It is a super-2 number, since 2×131183131313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

131183131313 is a modest number, since divided by 131313 gives 131183 as remainder.

It is not an unprimeable number, because it can be changed into a prime (131183131333) 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, 669053 + ... + 842613.

It is an arithmetic number, because the mean of its divisors is an integer number (9004483341).

Almost surely, 2^131183131313 is an apocalyptic number.

131183131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131183131313 is a deficient number, since it is larger than the sum of its proper divisors (12888602143).

131183131313 is a wasteful number, since it uses less digits than its factorization.

131183131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174724.

The product of its digits is 1944, while the sum is 29.

The spelling of 131183131313 in words is "one hundred thirty-one billion, one hundred eighty-three million, one hundred thirty-one thousand, three hundred thirteen".