20313013310101 has 2 divisors, whose sum is σ = 20313013310102. Its totient is φ = 20313013310100.

The previous prime is 20313013310087. The next prime is 20313013310141. The reversal of 20313013310101 is 10101331031302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14853084760900 + 5459928549201 = 3853970^2 + 2336649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20313013310101 is a prime.

It is a super-3 number, since 3×20313013310101³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20313013310141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10156506655050 + 10156506655051.

It is an arithmetic number, because the mean of its divisors is an integer number (10156506655051).

Almost surely, 2^{20313013310101} is an apocalyptic number.

It is an amenable number.

20313013310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20313013310101 is an equidigital number, since it uses as much as digits as its factorization.

20313013310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 20313013310101 its reverse (10101331031302), we get a palindrome (30414344341403).

The spelling of 20313013310101 in words is "twenty trillion, three hundred thirteen billion, thirteen million, three hundred ten thousand, one hundred one".