101100013 has 8 divisors (see below), whose sum is σ = 117006080. Its totient is φ = 85559760.

The previous prime is 101100011. The next prime is 101100029. The reversal of 101100013 is 310001101.

It is a happy number.

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 101100013 - 2¹ = 101100011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101099969 and 101100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100011) 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, 90858 + ... + 91963.

It is an arithmetic number, because the mean of its divisors is an integer number (14625760).

Almost surely, 2^101100013 is an apocalyptic number.

It is an amenable number.

101100013 is a deficient number, since it is larger than the sum of its proper divisors (15906067).

101100013 is an equidigital number, since it uses as much as digits as its factorization.

101100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182907.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101100013 is about 10054.8502226537. The cubic root of 101100013 is about 465.8546167341.

Adding to 101100013 its reverse (310001101), we get a palindrome (411101114).

The spelling of 101100013 in words is "one hundred one million, one hundred thousand, thirteen".