101110560601013 has 2 divisors, whose sum is σ = 101110560601014. Its totient is φ = 101110560601012.

The previous prime is 101110560600961. The next prime is 101110560601153. The reversal of 101110560601013 is 310106065011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50813273925649 + 50297286675364 = 7128343^2 + 7092058^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110560601013 - 2⁸ = 101110560600757 is a prime.

It is a super-2 number, since 2×101110560601013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110560601513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555280300506 + 50555280300507.

It is an arithmetic number, because the mean of its divisors is an integer number (50555280300507).

Almost surely, 2^{101110560601013} is an apocalyptic number.

It is an amenable number.

101110560601013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110560601013 is an equidigital number, since it uses as much as digits as its factorization.

101110560601013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 101110560601013 in words is "one hundred one trillion, one hundred ten billion, five hundred sixty million, six hundred one thousand, thirteen".