20013102113 has 2 divisors, whose sum is σ = 20013102114. Its totient is φ = 20013102112.

The previous prime is 20013102107. The next prime is 20013102119. The reversal of 20013102113 is 31120131002.

It is a balanced prime because it is at equal distance from previous prime (20013102107) and next prime (20013102119).

It can be written as a sum of positive squares in only one way, i.e., 16473209104 + 3539893009 = 128348^2 + 59497^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013102113 - 2³⁴ = 2833232929 is a prime.

It is not a weakly prime, because it can be changed into another prime (20013102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006551056 + 10006551057.

It is an arithmetic number, because the mean of its divisors is an integer number (10006551057).

Almost surely, 2^20013102113 is an apocalyptic number.

It is an amenable number.

20013102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013102113 is an equidigital number, since it uses as much as digits as its factorization.

20013102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20013102113 its reverse (31120131002), we get a palindrome (51133233115).

The spelling of 20013102113 in words is "twenty billion, thirteen million, one hundred two thousand, one hundred thirteen".