101116013 has 4 divisors (see below), whose sum is σ = 101357760. Its totient is φ = 100874268.

The previous prime is 101115947. The next prime is 101116021. The reversal of 101116013 is 310611101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101116013 - 2⁸ = 101115757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101116313) 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 3 ways as a sum of consecutive naturals, for example, 120245 + ... + 121082.

It is an arithmetic number, because the mean of its divisors is an integer number (25339440).

Almost surely, 2^101116013 is an apocalyptic number.

It is an amenable number.

101116013 is a deficient number, since it is larger than the sum of its proper divisors (241747).

101116013 is an equidigital number, since it uses as much as digits as its factorization.

101116013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241746.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 101116013 is about 10055.6458270963. The cubic root of 101116013 is about 465.8791906864.

Adding to 101116013 its reverse (310611101), we get a palindrome (411727114).

The spelling of 101116013 in words is "one hundred one million, one hundred sixteen thousand, thirteen".