101001113 has 8 divisors (see below), whose sum is σ = 104726280. Its totient is φ = 97292160.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001113 is 311100101.

It can be written as a sum of positive squares in 4 ways, for example, as 54937744 + 46063369 = 7412^2 + 6787^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001113 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 101001113.

It is not an unprimeable number, because it can be changed into a prime (101001133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9443 + ... + 17063.

It is an arithmetic number, because the mean of its divisors is an integer number (13090785).

Almost surely, 2^101001113 is an apocalyptic number.

It is an amenable number.

101001113 is a deficient number, since it is larger than the sum of its proper divisors (3725167).

101001113 is an equidigital number, since it uses as much as digits as its factorization.

101001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107.

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

The square root of 101001113 is about 10049.9309947880. The cubic root of 101001113 is about 465.7026614182.

Adding to 101001113 its reverse (311100101), we get a palindrome (412101214).

The spelling of 101001113 in words is "one hundred one million, one thousand, one hundred thirteen".