13131001331013 has 4 divisors (see below), whose sum is σ = 17508001774688. Its totient is φ = 8754000887340.

The previous prime is 13131001331003. The next prime is 13131001331023. The reversal of 13131001331013 is 31013310013131.

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 an interprime number because it is at equal distance from previous prime (13131001331003) and next prime (13131001331023).

It is a de Polignac number, because none of the positive numbers 2^k-13131001331013 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 (13131001331003) 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, 2188500221833 + ... + 2188500221838.

It is an arithmetic number, because the mean of its divisors is an integer number (4377000443672).

Almost surely, 2^{13131001331013} is an apocalyptic number.

It is an amenable number.

13131001331013 is a deficient number, since it is larger than the sum of its proper divisors (4377000443675).

13131001331013 is an equidigital number, since it uses as much as digits as its factorization.

13131001331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377000443674.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13131001331013 its reverse (31013310013131), we get a palindrome (44144311344144).

The spelling of 13131001331013 in words is "thirteen trillion, one hundred thirty-one billion, one million, three hundred thirty-one thousand, thirteen".