131011003013313 has 4 divisors (see below), whose sum is σ = 174681337351088. Its totient is φ = 87340668675540.

The previous prime is 131011003013287. The next prime is 131011003013333. The reversal of 131011003013313 is 313310300110131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 131011003013313 - 2²⁰ = 131011001964737 is a prime.

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 131011003013313.

It is not an unprimeable number, because it can be changed into a prime (131011003013333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21835167168883 + ... + 21835167168888.

It is an arithmetic number, because the mean of its divisors is an integer number (43670334337772).

Almost surely, 2^{131011003013313} is an apocalyptic number.

It is an amenable number.

131011003013313 is a deficient number, since it is larger than the sum of its proper divisors (43670334337775).

131011003013313 is an equidigital number, since it uses as much as digits as its factorization.

131011003013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43670334337774.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 131011003013313 its reverse (313310300110131), we get a palindrome (444321303123444).

The spelling of 131011003013313 in words is "one hundred thirty-one trillion, eleven billion, three million, thirteen thousand, three hundred thirteen".