13317120 has 198 divisors, whose sum is σ = 49017462. Its totient is φ = 3342336.

The previous prime is 13317107. The next prime is 13317127. The reversal of 13317120 is 2171331.

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 8856576 = 2112^2 + 2976^2 .

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 a junction number, because it is equal to n+sod(n) for n = 13317093 and 13317102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 783352 + ... + 783368.

Almost surely, 2^13317120 is an apocalyptic number.

13317120 is a gapful number since it is divisible by the number (10) 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 13317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24508731).

13317120 is an abundant number, since it is smaller than the sum of its proper divisors (35700342).

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

13317120 is a wasteful number, since it uses less digits than its factorization.

13317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13317120 is about 3649.2629392797. The cubic root of 13317120 is about 237.0300661530.

Adding to 13317120 its reverse (2171331), we get a palindrome (15488451).

The spelling of 13317120 in words is "thirteen million, three hundred seventeen thousand, one hundred twenty".