13010100331013 has 4 divisors (see below), whose sum is σ = 13575756867168. Its totient is φ = 12444443794860.

The previous prime is 13010100330989. The next prime is 13010100331031. The reversal of 13010100331013 is 31013300101031.

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 13010100331013 - 2⁸ = 13010100330757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13010100330982 and 13010100331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010100331073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282828268043 + ... + 282828268088.

It is an arithmetic number, because the mean of its divisors is an integer number (3393939216792).

Almost surely, 2^{13010100331013} is an apocalyptic number.

It is an amenable number.

13010100331013 is a deficient number, since it is larger than the sum of its proper divisors (565656536155).

13010100331013 is an equidigital number, since it uses as much as digits as its factorization.

13010100331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565656536154.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13010100331013 its reverse (31013300101031), we get a palindrome (44023400432044).

The spelling of 13010100331013 in words is "thirteen trillion, ten billion, one hundred million, three hundred thirty-one thousand, thirteen".