13111540 has 48 divisors (see below), whose sum is σ = 29917440. Its totient is φ = 4798080.

The previous prime is 13111519. The next prime is 13111561. The reversal of 13111540 is 4511131.

13111540 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (13111519) and next prime (13111561).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54741 + ... + 54979.

It is an arithmetic number, because the mean of its divisors is an integer number (623280).

Almost surely, 2^13111540 is an apocalyptic number.

13111540 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 13111540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958720).

13111540 is an abundant number, since it is smaller than the sum of its proper divisors (16805900).

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

13111540 is a wasteful number, since it uses less digits than its factorization.

13111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 13111540 is about 3620.9860535495. The cubic root of 13111540 is about 235.8040363107.

Adding to 13111540 its reverse (4511131), we get a palindrome (17622671).

The spelling of 13111540 in words is "thirteen million, one hundred eleven thousand, five hundred forty".