133003231332313 has 2 divisors, whose sum is σ = 133003231332314. Its totient is φ = 133003231332312.

The previous prime is 133003231332281. The next prime is 133003231332341. The reversal of 133003231332313 is 313233132300331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123678709514649 + 9324521817664 = 11121093^2 + 3053608^2 .

It is an emirp because it is prime and its reverse (313233132300331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133003231332313 - 2⁵ = 133003231332281 is a prime.

It is not a weakly prime, because it can be changed into another prime (133003231332373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66501615666156 + 66501615666157.

It is an arithmetic number, because the mean of its divisors is an integer number (66501615666157).

Almost surely, 2^{133003231332313} is an apocalyptic number.

It is an amenable number.

133003231332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133003231332313 is an equidigital number, since it uses as much as digits as its factorization.

133003231332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 133003231332313 its reverse (313233132300331), we get a palindrome (446236363632644).

The spelling of 133003231332313 in words is "one hundred thirty-three trillion, three billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred thirteen".