13101313104 has 120 divisors (see below), whose sum is σ = 40155590592. Its totient is φ = 3954524160.

The previous prime is 13101313073. The next prime is 13101313123. The reversal of 13101313104 is 40131310131.

It is a super-2 number, since 2×13101313104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390997 + ... + 423179.

Almost surely, 2^13101313104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077795296).

13101313104 is an abundant number, since it is smaller than the sum of its proper divisors (27054277488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101313104 is a wasteful number, since it uses less digits than its factorization.

13101313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32465 (or 32456 counting only the distinct ones).

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

Adding to 13101313104 its reverse (40131310131), we get a palindrome (53232623235).

The spelling of 13101313104 in words is "thirteen billion, one hundred one million, three hundred thirteen thousand, one hundred four".