133020331313 has 2 divisors, whose sum is σ = 133020331314. Its totient is φ = 133020331312.

The previous prime is 133020331291. The next prime is 133020331319. The reversal of 133020331313 is 313133020331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120737485729 + 12282845584 = 347473^2 + 110828^2 .

It is a cyclic number.

It is not a de Polignac number, because 133020331313 - 2³⁶ = 64300854577 is a prime.

It is not a weakly prime, because it can be changed into another prime (133020331319) 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, 66510165656 + 66510165657.

It is an arithmetic number, because the mean of its divisors is an integer number (66510165657).

Almost surely, 2^133020331313 is an apocalyptic number.

It is an amenable number.

133020331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133020331313 is an equidigital number, since it uses as much as digits as its factorization.

133020331313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133020331313 its reverse (313133020331), we get a palindrome (446153351644).

The spelling of 133020331313 in words is "one hundred thirty-three billion, twenty million, three hundred thirty-one thousand, three hundred thirteen".