101536013 has 2 divisors, whose sum is σ = 101536014. Its totient is φ = 101536012.

The previous prime is 101536009. The next prime is 101536031. The reversal of 101536013 is 310635101.

It is a happy number.

Together with next prime (101536031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52157284 + 49378729 = 7222^2 + 7027^2 .

It is a cyclic number.

It is not a de Polignac number, because 101536013 - 2² = 101536009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101536033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50768006 + 50768007.

It is an arithmetic number, because the mean of its divisors is an integer number (50768007).

Almost surely, 2^101536013 is an apocalyptic number.

It is an amenable number.

101536013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101536013 is an equidigital number, since it uses as much as digits as its factorization.

101536013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 101536013 is about 10076.5079764768. The cubic root of 101536013 is about 466.5233318868.

The spelling of 101536013 in words is "one hundred one million, five hundred thirty-six thousand, thirteen".