13130461 has 2 divisors, whose sum is σ = 13130462. Its totient is φ = 13130460.

The previous prime is 13130441. The next prime is 13130473. The reversal of 13130461 is 16403131.

13130461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7868025 + 5262436 = 2805^2 + 2294^2 .

It is an emirp because it is prime and its reverse (16403131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13130461 - 2¹¹ = 13128413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130441) 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 as a sum of consecutive naturals, namely, 6565230 + 6565231.

It is an arithmetic number, because the mean of its divisors is an integer number (6565231).

Almost surely, 2^13130461 is an apocalyptic number.

It is an amenable number.

13130461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130461 is an equidigital number, since it uses as much as digits as its factorization.

13130461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13130461 is about 3623.5977977695. The cubic root of 13130461 is about 235.9174098152.

Adding to 13130461 its reverse (16403131), we get a palindrome (29533592).

The spelling of 13130461 in words is "thirteen million, one hundred thirty thousand, four hundred sixty-one".