101101000201013 has 2 divisors, whose sum is σ = 101101000201014. Its totient is φ = 101101000201012.

The previous prime is 101101000200979. The next prime is 101101000201027. The reversal of 101101000201013 is 310102000101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100139388539089 + 961611661924 = 10006967^2 + 980618^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101000201013 - 2¹⁰ = 101101000199989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101000200985 and 101101000201003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101000261013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500100506 + 50550500100507.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500100507).

Almost surely, 2^{101101000201013} is an apocalyptic number.

It is an amenable number.

101101000201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000201013 is an equidigital number, since it uses as much as digits as its factorization.

101101000201013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101101000201013 its reverse (310102000101101), we get a palindrome (411203000302114).

The spelling of 101101000201013 in words is "one hundred one trillion, one hundred one billion, two hundred one thousand, thirteen".