13540131 has 12 divisors (see below), whose sum is σ = 21336120. Its totient is φ = 8206080.

The previous prime is 13540117. The next prime is 13540139. The reversal of 13540131 is 13104531.

13540131 = 474² + 475² + ... + 527².

13540131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13540131 - 2¹³ = 13531939 is a prime.

It is a super-2 number, since 2×13540131² = 366670294994322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13540139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68286 + ... + 68483.

It is an arithmetic number, because the mean of its divisors is an integer number (1778010).

Almost surely, 2^13540131 is an apocalyptic number.

13540131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13540131 is a deficient number, since it is larger than the sum of its proper divisors (7795989).

13540131 is a wasteful number, since it uses less digits than its factorization.

13540131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136786 (or 136783 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13540131 is about 3679.6916990422. The cubic root of 13540131 is about 238.3458650992.

Adding to 13540131 its reverse (13104531), we get a palindrome (26644662).

Subtracting from 13540131 its reverse (13104531), we obtain a square (435600 = 660²).

The spelling of 13540131 in words is "thirteen million, five hundred forty thousand, one hundred thirty-one".