13180541 has 16 divisors (see below), whose sum is σ = 15275520. Its totient is φ = 11254320.

The previous prime is 13180523. The next prime is 13180571. The reversal of 13180541 is 14508131.

It is not a de Polignac number, because 13180541 - 2⁶ = 13180477 is a prime.

It is a super-2 number, since 2×13180541² = 347453322105362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180501) 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, 14486 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 2^13180541 is an apocalyptic number.

13180541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13180541 is a deficient number, since it is larger than the sum of its proper divisors (2094979).

13180541 is a wasteful number, since it uses less digits than its factorization.

13180541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 13180541 is about 3630.5014805120. The cubic root of 13180541 is about 236.2169614970.

Adding to 13180541 its reverse (14508131), we get a palindrome (27688672).

The spelling of 13180541 in words is "thirteen million, one hundred eighty thousand, five hundred forty-one".