13117104 has 270 divisors, whose sum is σ = 50444316. Its totient is φ = 3144960.

The previous prime is 13117103. The next prime is 13117109. The reversal of 13117104 is 40171131.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13117103) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1009002 + ... + 1009014.

Almost surely, 2^13117104 is an apocalyptic number.

13117104 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 13117104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222158).

13117104 is an abundant number, since it is smaller than the sum of its proper divisors (37327212).

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

13117104 is a wasteful number, since it uses less digits than its factorization.

13117104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 13117104 is about 3621.7542710681. The cubic root of 13117104 is about 235.8373867819.

Adding to 13117104 its reverse (40171131), we get a palindrome (53288235).

Multiplying 13117104 by its reverse (40171131), we get a square (526928903124624 = 22954932²).

The spelling of 13117104 in words is "thirteen million, one hundred seventeen thousand, one hundred four".