20313101301001 has 2 divisors, whose sum is σ = 20313101301002. Its totient is φ = 20313101301000.

The previous prime is 20313101300887. The next prime is 20313101301049. The reversal of 20313101301001 is 10010310131302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14407831935225 + 5905269365776 = 3795765^2 + 2430076^2 .

It is a cyclic number.

It is not a de Polignac number, because 20313101301001 - 2¹¹ = 20313101298953 is a prime.

It is not a weakly prime, because it can be changed into another prime (20313101301061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10156550650500 + 10156550650501.

It is an arithmetic number, because the mean of its divisors is an integer number (10156550650501).

Almost surely, 2^{20313101301001} is an apocalyptic number.

It is an amenable number.

20313101301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20313101301001 is an equidigital number, since it uses as much as digits as its factorization.

20313101301001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 20313101301001 its reverse (10010310131302), we get a palindrome (30323411432303).

The spelling of 20313101301001 in words is "twenty trillion, three hundred thirteen billion, one hundred one million, three hundred one thousand, one".