13131024231013 has 16 divisors (see below), whose sum is σ = 14275896140800. Its totient is φ = 12005954763264.

The previous prime is 13131024231007. The next prime is 13131024231049. The reversal of 13131024231013 is 31013242013131.

13131024231013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13131024231013 - 2⁹ = 13131024230501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131024331013) 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, 10803756 + ... + 11957557.

It is an arithmetic number, because the mean of its divisors is an integer number (892243508800).

Almost surely, 2^{13131024231013} is an apocalyptic number.

13131024231013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13131024231013 is a deficient number, since it is larger than the sum of its proper divisors (1144871909787).

13131024231013 is a wasteful number, since it uses less digits than its factorization.

13131024231013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22761748.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13131024231013 its reverse (31013242013131), we get a palindrome (44144266244144).

The spelling of 13131024231013 in words is "thirteen trillion, one hundred thirty-one billion, twenty-four million, two hundred thirty-one thousand, thirteen".