13507131 has 16 divisors (see below), whose sum is σ = 19715328. Its totient is φ = 8157600.

The previous prime is 13507121. The next prime is 13507139. The reversal of 13507131 is 13170531.

It is not a de Polignac number, because 13507131 - 2¹³ = 13498939 is a prime.

It is a super-2 number, since 2×13507131² = 364885175702322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13507098 and 13507107.

It is not an unprimeable number, because it can be changed into a prime (13507139) 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 15 ways as a sum of consecutive naturals, for example, 12586 + ... + 13616.

It is an arithmetic number, because the mean of its divisors is an integer number (1232208).

Almost surely, 2^13507131 is an apocalyptic number.

13507131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13507131 is a deficient number, since it is larger than the sum of its proper divisors (6208197).

13507131 is a wasteful number, since it uses less digits than its factorization.

13507131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 13507131 is about 3675.2048922475. The cubic root of 13507131 is about 238.1520754410.

Adding to 13507131 its reverse (13170531), we get a palindrome (26677662).

The spelling of 13507131 in words is "thirteen million, five hundred seven thousand, one hundred thirty-one".