133220101300313 has 2 divisors, whose sum is σ = 133220101300314. Its totient is φ = 133220101300312.

The previous prime is 133220101300301. The next prime is 133220101300381. The reversal of 133220101300313 is 313003101022331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74284954552384 + 58935146747929 = 8618872^2 + 7676923^2 .

It is a cyclic number.

It is not a de Polignac number, because 133220101300313 - 2¹⁶ = 133220101234777 is a prime.

It is not a weakly prime, because it can be changed into another prime (133220101300213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66610050650156 + 66610050650157.

It is an arithmetic number, because the mean of its divisors is an integer number (66610050650157).

Almost surely, 2^{133220101300313} is an apocalyptic number.

It is an amenable number.

133220101300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133220101300313 is an equidigital number, since it uses as much as digits as its factorization.

133220101300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133220101300313 its reverse (313003101022331), we get a palindrome (446223202322644).

The spelling of 133220101300313 in words is "one hundred thirty-three trillion, two hundred twenty billion, one hundred one million, three hundred thousand, three hundred thirteen".