20013732101081 has 2 divisors, whose sum is σ = 20013732101082. Its totient is φ = 20013732101080.

The previous prime is 20013732101023. The next prime is 20013732101123. The reversal of 20013732101081 is 18010123731002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14250179553481 + 5763552547600 = 3774941^2 + 2400740^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013732101081 - 2¹⁸ = 20013731838937 is a prime.

It is a super-2 number, since 2×20013732101081² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20013732101981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006866050540 + 10006866050541.

It is an arithmetic number, because the mean of its divisors is an integer number (10006866050541).

Almost surely, 2^{20013732101081} is an apocalyptic number.

It is an amenable number.

20013732101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013732101081 is an equidigital number, since it uses as much as digits as its factorization.

20013732101081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 20013732101081 its reverse (18010123731002), we get a palindrome (38023855832083).

The spelling of 20013732101081 in words is "twenty trillion, thirteen billion, seven hundred thirty-two million, one hundred one thousand, eighty-one".