101101011201013 has 2 divisors, whose sum is σ = 101101011201014. Its totient is φ = 101101011201012.

The previous prime is 101101011200879. The next prime is 101101011201107. The reversal of 101101011201013 is 310102110101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76089629905969 + 25011381295044 = 8722937^2 + 5001138^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101011201013 - 2²⁹ = 101100474330101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101011200984 and 101101011201002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101011201313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505600506 + 50550505600507.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505600507).

Almost surely, 2^{101101011201013} is an apocalyptic number.

It is an amenable number.

101101011201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101011201013 is an equidigital number, since it uses as much as digits as its factorization.

101101011201013 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 13.

Adding to 101101011201013 its reverse (310102110101101), we get a palindrome (411203121302114).

The spelling of 101101011201013 in words is "one hundred one trillion, one hundred one billion, eleven million, two hundred one thousand, thirteen".