13013021102013 has 16 divisors (see below), whose sum is σ = 19282580611840. Its totient is φ = 8673533527392.

The previous prime is 13013021101963. The next prime is 13013021102041. The reversal of 13013021102013 is 31020112031031.

It is not a de Polignac number, because 13013021102013 - 2¹² = 13013021097917 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 (13013021102413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50253856 + ... + 50512137.

It is an arithmetic number, because the mean of its divisors is an integer number (1205161288240).

Almost surely, 2^{13013021102013} is an apocalyptic number.

It is an amenable number.

13013021102013 is a deficient number, since it is larger than the sum of its proper divisors (6269559509827).

13013021102013 is a wasteful number, since it uses less digits than its factorization.

13013021102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100770785 (or 100770779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13013021102013 its reverse (31020112031031), we get a palindrome (44033133133044).

The spelling of 13013021102013 in words is "thirteen trillion, thirteen billion, twenty-one million, one hundred two thousand, thirteen".