13111615104 has 128 divisors (see below), whose sum is σ = 40057929600. Its totient is φ = 3722194944.

The previous prime is 13111615093. The next prime is 13111615117. The reversal of 13111615104 is 40151611131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406482 + ... + 437550.

It is an arithmetic number, because the mean of its divisors is an integer number (312952575).

Almost surely, 2^13111615104 is an apocalyptic number.

13111615104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028964800).

13111615104 is an abundant number, since it is smaller than the sum of its proper divisors (26946314496).

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

13111615104 is a wasteful number, since it uses less digits than its factorization.

13111615104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31250 (or 31238 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 13111615104 in words is "thirteen billion, one hundred eleven million, six hundred fifteen thousand, one hundred four".