101013305 has 8 divisors (see below), whose sum is σ = 121845192. Its totient is φ = 80391168.

The previous prime is 101013281. The next prime is 101013307. The reversal of 101013305 is 503310101.

It can be written as a sum of positive squares in 4 ways, for example, as 16152361 + 84860944 = 4019^2 + 9212^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101013305 - 2¹⁴ = 100996921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101013305.

It is not an unprimeable number, because it can be changed into a prime (101013307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51374 + ... + 53303.

It is an arithmetic number, because the mean of its divisors is an integer number (15230649).

Almost surely, 2^101013305 is an apocalyptic number.

It is an amenable number.

101013305 is a deficient number, since it is larger than the sum of its proper divisors (20831887).

101013305 is a wasteful number, since it uses less digits than its factorization.

101013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104875.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 101013305 is about 10050.5375478131. The cubic root of 101013305 is about 465.7213992262.

Adding to 101013305 its reverse (503310101), we get a palindrome (604323406).

The spelling of 101013305 in words is "one hundred one million, thirteen thousand, three hundred five".