132013303300313 has 2 divisors, whose sum is σ = 132013303300314. Its totient is φ = 132013303300312.

The previous prime is 132013303300279. The next prime is 132013303300331. The reversal of 132013303300313 is 313003303310231.

It is a happy number.

Together with next prime (132013303300331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131905868160784 + 107435139529 = 11485028^2 + 327773^2 .

It is a cyclic number.

It is not a de Polignac number, because 132013303300313 - 2⁸ = 132013303300057 is a prime.

It is not a weakly prime, because it can be changed into another prime (132013303300363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66006651650156 + 66006651650157.

It is an arithmetic number, because the mean of its divisors is an integer number (66006651650157).

Almost surely, 2^{132013303300313} is an apocalyptic number.

It is an amenable number.

132013303300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

132013303300313 is an equidigital number, since it uses as much as digits as its factorization.

132013303300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 132013303300313 its reverse (313003303310231), we get a palindrome (445016606610544).

The spelling of 132013303300313 in words is "one hundred thirty-two trillion, thirteen billion, three hundred three million, three hundred thousand, three hundred thirteen".