13019104 has 108 divisors (see below), whose sum is σ = 32836104. Its totient is φ = 5056128.

The previous prime is 13019087. The next prime is 13019113. The reversal of 13019104 is 40191031.

It is a happy number.

13019104 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

13019104 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 566037 + ... + 566059.

It is an arithmetic number, because the mean of its divisors is an integer number (304038).

Almost surely, 2^13019104 is an apocalyptic number.

13019104 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 13019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418052).

13019104 is an abundant number, since it is smaller than the sum of its proper divisors (19817000).

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

13019104 is a wasteful number, since it uses less digits than its factorization.

13019104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 13019104 is about 3608.1995510226. The cubic root of 13019104 is about 235.2485916233.

The spelling of 13019104 in words is "thirteen million, nineteen thousand, one hundred four".