131023320321313 has 16 divisors (see below), whose sum is σ = 151245818006400. Its totient is φ = 111182404571136.

The previous prime is 131023320321287. The next prime is 131023320321329. The reversal of 131023320321313 is 313123023320131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131023320321313 is a prime.

It is a super-2 number, since 2×131023320321313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131023320321353) 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, 223115338 + ... + 223701811.

It is an arithmetic number, because the mean of its divisors is an integer number (9452863625400).

Almost surely, 2^{131023320321313} is an apocalyptic number.

It is an amenable number.

131023320321313 is a deficient number, since it is larger than the sum of its proper divisors (20222497685087).

131023320321313 is a wasteful number, since it uses less digits than its factorization.

131023320321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446817576.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 131023320321313 its reverse (313123023320131), we get a palindrome (444146343641444).

The spelling of 131023320321313 in words is "one hundred thirty-one trillion, twenty-three billion, three hundred twenty million, three hundred twenty-one thousand, three hundred thirteen".