13130137 has 6 divisors (see below), whose sum is σ = 13948238. Its totient is φ = 12357504.

The previous prime is 13130129. The next prime is 13130141. The reversal of 13130137 is 73103131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9803161 + 3326976 = 3131^2 + 1824^2 .

It is not a de Polignac number, because 13130137 - 2³ = 13130129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22428 + ... + 23005.

Almost surely, 2^13130137 is an apocalyptic number.

13130137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13130137 is a deficient number, since it is larger than the sum of its proper divisors (818101).

13130137 is an equidigital number, since it uses as much as digits as its factorization.

13130137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45467 (or 45450 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 13130137 is about 3623.5530905452. The cubic root of 13130137 is about 235.9154693433.

Adding to 13130137 its reverse (73103131), we get a palindrome (86233268).

The spelling of 13130137 in words is "thirteen million, one hundred thirty thousand, one hundred thirty-seven".