131313203013113 has 48 divisors (see below), whose sum is σ = 148262339509200. Its totient is φ = 116167828508160.

The previous prime is 131313203013077. The next prime is 131313203013121. The reversal of 131313203013113 is 311310302313131.

It can be written as a sum of positive squares in 8 ways, for example, as 20082157241344 + 111231045771769 = 4481312^2 + 10546613^2 .

It is not a de Polignac number, because 131313203013113 - 2⁶ = 131313203013049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131313203013133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560693363 + ... + 560927511.

It is an arithmetic number, because the mean of its divisors is an integer number (3088798739775).

Almost surely, 2^{131313203013113} is an apocalyptic number.

It is an amenable number.

131313203013113 is a deficient number, since it is larger than the sum of its proper divisors (16949136496087).

131313203013113 is a wasteful number, since it uses less digits than its factorization.

131313203013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234938 (or 234927 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 131313203013113 its reverse (311310302313131), we get a palindrome (442623505326244).

The spelling of 131313203013113 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred three million, thirteen thousand, one hundred thirteen".