20301013332401 has 2 divisors, whose sum is σ = 20301013332402. Its totient is φ = 20301013332400.

The previous prime is 20301013332307. The next prime is 20301013332403. The reversal of 20301013332401 is 10423331010302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10373063084176 + 9927950248225 = 3220724^2 + 3150865^2 .

It is a cyclic number.

It is not a de Polignac number, because 20301013332401 - 2¹⁰ = 20301013331377 is a prime.

It is a super-2 number, since 2×20301013332401² (a number of 27 digits) contains 22 as substring.

Together with 20301013332403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20301013332403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10150506666200 + 10150506666201.

It is an arithmetic number, because the mean of its divisors is an integer number (10150506666201).

Almost surely, 2^{20301013332401} is an apocalyptic number.

It is an amenable number.

20301013332401 is a deficient number, since it is larger than the sum of its proper divisors (1).

20301013332401 is an equidigital number, since it uses as much as digits as its factorization.

20301013332401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 20301013332401 its reverse (10423331010302), we get a palindrome (30724344342703).

The spelling of 20301013332401 in words is "twenty trillion, three hundred one billion, thirteen million, three hundred thirty-two thousand, four hundred one".