101000100013 has 2 divisors, whose sum is σ = 101000100014. Its totient is φ = 101000100012.

The previous prime is 101000100007. The next prime is 101000100029. The reversal of 101000100013 is 310001000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54455489449 + 46544610564 = 233357^2 + 215742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000099969 and 101000100005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000106013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050006 + 50500050007.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050007).

Almost surely, 2^101000100013 is an apocalyptic number.

It is an amenable number.

101000100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100013 is an equidigital number, since it uses as much as digits as its factorization.

101000100013 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 7.

Adding to 101000100013 its reverse (310001000101), we get a palindrome (411001100114).

The spelling of 101000100013 in words is "one hundred one billion, one hundred thousand, thirteen".