13001110313013 has 24 divisors (see below), whose sum is σ = 18965425447488. Its totient is φ = 8581573484352.

The previous prime is 13001110312919. The next prime is 13001110313053. The reversal of 13001110313013 is 31031301110031.

It is not a de Polignac number, because 13001110313013 - 2²⁸ = 13000841877557 is a prime.

It is a super-3 number, since 3×13001110313013³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001110313053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361081 + ... + 6107297.

It is an arithmetic number, because the mean of its divisors is an integer number (790226060312).

Almost surely, 2^{13001110313013} is an apocalyptic number.

It is an amenable number.

13001110313013 is a deficient number, since it is larger than the sum of its proper divisors (5964315134475).

13001110313013 is a wasteful number, since it uses less digits than its factorization.

13001110313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751433 (or 2751430 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13001110313013 its reverse (31031301110031), we get a palindrome (44032411423044).

The spelling of 13001110313013 in words is "thirteen trillion, one billion, one hundred ten million, three hundred thirteen thousand, thirteen".