1305132013 has 2 divisors, whose sum is σ = 1305132014. Its totient is φ = 1305132012.

The previous prime is 1305131959. The next prime is 1305132019. The reversal of 1305132013 is 3102315031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1302704649 + 2427364 = 36093^2 + 1558^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305132013 - 2¹³ = 1305123821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305132019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652566006 + 652566007.

It is an arithmetic number, because the mean of its divisors is an integer number (652566007).

Almost surely, 2^1305132013 is an apocalyptic number.

It is an amenable number.

1305132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305132013 is an equidigital number, since it uses as much as digits as its factorization.

1305132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1305132013 is about 36126.6108706588. The cubic root of 1305132013 is about 1092.8271620791.

Adding to 1305132013 its reverse (3102315031), we get a palindrome (4407447044).

The spelling of 1305132013 in words is "one billion, three hundred five million, one hundred thirty-two thousand, thirteen".