131300131313 has 8 divisors (see below), whose sum is σ = 148842254400. Its totient is φ = 114821167248.

The previous prime is 131300131271. The next prime is 131300131393. The reversal of 131300131313 is 313131003131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131300131313 - 2²⁸ = 131031695857 is a prime.

It is a super-2 number, since 2×131300131313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

131300131313 is a modest number, since divided by 131313 gives 131300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (131300131393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265789493 + ... + 265789986.

It is an arithmetic number, because the mean of its divisors is an integer number (18605281800).

Almost surely, 2^131300131313 is an apocalyptic number.

131300131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131300131313 is a deficient number, since it is larger than the sum of its proper divisors (17542123087).

131300131313 is a wasteful number, since it uses less digits than its factorization.

131300131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531579511.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131300131313 its reverse (313131003131), we get a palindrome (444431134444).

The spelling of 131300131313 in words is "one hundred thirty-one billion, three hundred million, one hundred thirty-one thousand, three hundred thirteen".