13111641 has 27 divisors (see below), whose sum is σ = 20405983. Its totient is φ = 8111040.

The previous prime is 13111639. The next prime is 13111643. The reversal of 13111641 is 14611131.

The square root of 13111641 is 3621.

It is a perfect power (a square), and thus also a powerful number.

13111641 is a `hidden beast` number, since 13 + 1 + 11 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (13111639) and next prime (13111643).

It can be written as a sum of positive squares in only one way, i.e., 10208025 + 2903616 = 3195^2 + 1704^2 .

It is not a de Polignac number, because 13111641 - 2¹ = 13111639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13111643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184636 + ... + 184706.

Almost surely, 2^13111641 is an apocalyptic number.

13111641 is the 3621-st square number.

13111641 is the 1811-st centered octagonal number.

It is an amenable number.

13111641 is a deficient number, since it is larger than the sum of its proper divisors (7294342).

13111641 is an equidigital number, since it uses as much as digits as its factorization.

13111641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The cubic root of 13111641 is about 235.8046417861.

Adding to 13111641 its reverse (14611131), we get a palindrome (27722772).

The spelling of 13111641 in words is "thirteen million, one hundred eleven thousand, six hundred forty-one".