131001040013313 has 8 divisors (see below), whose sum is σ = 174668110542688. Its totient is φ = 87333998079744.

The previous prime is 131001040013243. The next prime is 131001040013419. The reversal of 131001040013313 is 313310040100131.

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

It is not a de Polignac number, because 131001040013313 - 2⁴¹ = 128802016757761 is a prime.

It is a super-2 number, since 2×131001040013313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131001040013313.

It is not an unprimeable number, because it can be changed into a prime (131001040013513) 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 7 ways as a sum of consecutive naturals, for example, 8325345 + ... + 18202017.

It is an arithmetic number, because the mean of its divisors is an integer number (21833513817836).

Almost surely, 2^{131001040013313} is an apocalyptic number.

It is an amenable number.

131001040013313 is a deficient number, since it is larger than the sum of its proper divisors (43667070529375).

131001040013313 is an equidigital number, since it uses as much as digits as its factorization.

131001040013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297903.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131001040013313 its reverse (313310040100131), we get a palindrome (444311080113444).

The spelling of 131001040013313 in words is "one hundred thirty-one trillion, one billion, forty million, thirteen thousand, three hundred thirteen".