101305113 has 32 divisors (see below), whose sum is σ = 166822656. Its totient is φ = 53250048.

The previous prime is 101305111. The next prime is 101305123. The reversal of 101305113 is 311503101.

It is not a de Polignac number, because 101305113 - 2¹ = 101305111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101305092 and 101305101.

It is not an unprimeable number, because it can be changed into a prime (101305111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117781 + ... + 118637.

It is an arithmetic number, because the mean of its divisors is an integer number (5213208).

Almost surely, 2^101305113 is an apocalyptic number.

101305113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101305113 is a deficient number, since it is larger than the sum of its proper divisors (65517543).

101305113 is a wasteful number, since it uses less digits than its factorization.

101305113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 101305113 is about 10065.0441131671. The cubic root of 101305113 is about 466.1694279142.

Adding to 101305113 its reverse (311503101), we get a palindrome (412808214).

The spelling of 101305113 in words is "one hundred one million, three hundred five thousand, one hundred thirteen".