13041180 has 72 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 3409536.

The previous prime is 13041143. The next prime is 13041187. The reversal of 13041180 is 8114031.

It is a super-3 number, since 3×13041180³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8857 + ... + 10223.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

It is a vampire number, since it can be written as 3180 ⋅ 4101 (with its own digits).

Almost surely, 2^13041180 is an apocalyptic number.

13041180 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 13041180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

13041180 is an abundant number, since it is smaller than the sum of its proper divisors (27292932).

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

13041180 is a wasteful number, since it uses less digits than its factorization.

13041180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13041180 is about 3611.2573987463. The cubic root of 13041180 is about 235.3814839044.

The spelling of 13041180 in words is "thirteen million, forty-one thousand, one hundred eighty".