13131321331013 has 4 divisors (see below), whose sum is σ = 13131390423840. Its totient is φ = 13131252238188.

The previous prime is 13131321331003. The next prime is 13131321331019. The reversal of 13131321331013 is 31013312313131.

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 a cyclic number.

It is not a de Polignac number, because 13131321331013 - 2⁶ = 13131321330949 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 (13131321331019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34260545 + ... + 34641702.

It is an arithmetic number, because the mean of its divisors is an integer number (3282847605960).

Almost surely, 2^{13131321331013} is an apocalyptic number.

It is an amenable number.

13131321331013 is a deficient number, since it is larger than the sum of its proper divisors (69092827).

13131321331013 is an equidigital number, since it uses as much as digits as its factorization.

13131321331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69092826.

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

Adding to 13131321331013 its reverse (31013312313131), we get a palindrome (44144633644144).

The spelling of 13131321331013 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, thirteen".