13031013013 has 8 divisors (see below), whose sum is σ = 13089081600. Its totient is φ = 12972974448.

The previous prime is 13031013001. The next prime is 13031013041. The reversal of 13031013013 is 31031013031.

13031013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13031013013 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 (13031013113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720128 + ... + 1727686.

It is an arithmetic number, because the mean of its divisors is an integer number (1636135200).

Almost surely, 2^13031013013 is an apocalyptic number.

It is an amenable number.

13031013013 is a deficient number, since it is larger than the sum of its proper divisors (58068587).

13031013013 is an equidigital number, since it uses as much as digits as its factorization.

13031013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13031013013 its reverse (31031013031), we get a palindrome (44062026044).

The spelling of 13031013013 in words is "thirteen billion, thirty-one million, thirteen thousand, thirteen".