13131013410313 has 16 divisors (see below), whose sum is σ = 13471338811392. Its totient is φ = 12792293514000.

The previous prime is 13131013410269. The next prime is 13131013410341. The reversal of 13131013410313 is 31301431013131.

It is a de Polignac number, because none of the positive numbers 2^k-13131013410313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131013480313) 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 15 ways as a sum of consecutive naturals, for example, 67195758 + ... + 67390888.

It is an arithmetic number, because the mean of its divisors is an integer number (841958675712).

Almost surely, 2^{13131013410313} is an apocalyptic number.

It is an amenable number.

13131013410313 is a deficient number, since it is larger than the sum of its proper divisors (340325401079).

13131013410313 is a wasteful number, since it uses less digits than its factorization.

13131013410313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199236.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13131013410313 its reverse (31301431013131), we get a palindrome (44432444423444).

The spelling of 13131013410313 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, four hundred ten thousand, three hundred thirteen".