131323313313 has 20 divisors (see below), whose sum is σ = 196188546708. Its totient is φ = 87542532000.

The previous prime is 131323313293. The next prime is 131323313323. The reversal of 131323313313 is 313313323131.

131323313313 is a `hidden beast` number, since 1 + 3 + 1 + 32 + 3 + 313 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87398279424 + 43925033889 = 295632^2 + 209583^2 .

It is not a de Polignac number, because 131323313313 - 2⁶ = 131323313249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131323313323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1243063 + ... + 1344563.

Almost surely, 2^131323313313 is an apocalyptic number.

It is an amenable number.

131323313313 is a deficient number, since it is larger than the sum of its proper divisors (64865233395).

131323313313 is a wasteful number, since it uses less digits than its factorization.

131323313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117486 (or 117477 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 131323313313 its reverse (313313323131), we get a palindrome (444636636444).

The spelling of 131323313313 in words is "one hundred thirty-one billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred thirteen".