20331313313 has 2 divisors, whose sum is σ = 20331313314. Its totient is φ = 20331313312.

The previous prime is 20331313267. The next prime is 20331313367. The reversal of 20331313313 is 31331313302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20325634624 + 5678689 = 142568^2 + 2383^2 .

It is a cyclic number.

It is not a de Polignac number, because 20331313313 - 2¹⁶ = 20331247777 is a prime.

It is not a weakly prime, because it can be changed into another prime (20331303313) 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, 10165656656 + 10165656657.

It is an arithmetic number, because the mean of its divisors is an integer number (10165656657).

Almost surely, 2^20331313313 is an apocalyptic number.

It is an amenable number.

20331313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20331313313 is an equidigital number, since it uses as much as digits as its factorization.

20331313313 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 20331313313 its reverse (31331313302), we get a palindrome (51662626615).

The spelling of 20331313313 in words is "twenty billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred thirteen".