13041120 has 96 divisors (see below), whose sum is σ = 41640480. Its totient is φ = 3430400.

The previous prime is 13041113. The next prime is 13041121. The reversal of 13041120 is 2114031.

13041120 = 20² + 21² + ... + 339².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13041096 and 13041105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48346 + ... + 48614.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 2^13041120 is an apocalyptic number.

13041120 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 13041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820240).

13041120 is an abundant number, since it is smaller than the sum of its proper divisors (28599360).

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

13041120 is a wasteful number, since it uses less digits than its factorization.

13041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13041120 is about 3611.2490913810. The cubic root of 13041120 is about 235.3811229219.

Adding to 13041120 its reverse (2114031), we get a palindrome (15155151).

The spelling of 13041120 in words is "thirteen million, forty-one thousand, one hundred twenty".