101100110001013 has 2 divisors, whose sum is σ = 101100110001014. Its totient is φ = 101100110001012.

The previous prime is 101100110001001. The next prime is 101100110001047. The reversal of 101100110001013 is 310100011001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57267328680324 + 43832781320689 = 7567518^2 + 6620633^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110001013 - 2²⁵ = 101100076446581 is a prime.

It is a super-2 number, since 2×101100110001013² (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 (101100110001053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055000506 + 50550055000507.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055000507).

Almost surely, 2^{101100110001013} is an apocalyptic number.

It is an amenable number.

101100110001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110001013 is an equidigital number, since it uses as much as digits as its factorization.

101100110001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101100110001013 its reverse (310100011001101), we get a palindrome (411200121002114).

The spelling of 101100110001013 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one thousand, thirteen".