101113442305 has 8 divisors (see below), whose sum is σ = 121569024744. Its totient is φ = 80735491200.

The previous prime is 101113442293. The next prime is 101113442317. The reversal of 101113442305 is 503244311101.

It is an interprime number because it is at equal distance from previous prime (101113442293) and next prime (101113442317).

It can be written as a sum of positive squares in 4 ways, for example, as 28851400449 + 72262041856 = 169857^2 + 268816^2 .

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

It is not a de Polignac number, because 101113442305 - 2²⁹ = 100576571393 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 101113442305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19404966 + ... + 19410175.

It is an arithmetic number, because the mean of its divisors is an integer number (15196128093).

Almost surely, 2^101113442305 is an apocalyptic number.

It is an amenable number.

101113442305 is a deficient number, since it is larger than the sum of its proper divisors (20455582439).

101113442305 is an equidigital number, since it uses as much as digits as its factorization.

101113442305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38815667.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 101113442305 its reverse (503244311101), we get a palindrome (604357753406).

The spelling of 101113442305 in words is "one hundred one billion, one hundred thirteen million, four hundred forty-two thousand, three hundred five".