101100000100013 has 2 divisors, whose sum is σ = 101100000100014. Its totient is φ = 101100000100012.

The previous prime is 101100000099983. The next prime is 101100000100147. The reversal of 101100000100013 is 310001000001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98394853458724 + 2705146641289 = 9919418^2 + 1644733^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100000100013 - 2⁶ = 101100000099949 is a prime.

It is a super-2 number, since 2×101100000100013² (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 (101100000106013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550000050006 + 50550000050007.

It is an arithmetic number, because the mean of its divisors is an integer number (50550000050007).

Almost surely, 2^{101100000100013} is an apocalyptic number.

It is an amenable number.

101100000100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100000100013 is an equidigital number, since it uses as much as digits as its factorization.

101100000100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101100000100013 its reverse (310001000001101), we get a palindrome (411101000101114).

The spelling of 101100000100013 in words is "one hundred one trillion, one hundred billion, one hundred thousand, thirteen".