101232613305 has 24 divisors (see below), whose sum is σ = 177941275200. Its totient is φ = 53230292640.

The previous prime is 101232613297. The next prime is 101232613331. The reversal of 101232613305 is 503316232101.

101232613305 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 326 + 1 + 330 + 5 = 666.

It is not a de Polignac number, because 101232613305 - 2³ = 101232613297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15839155 + ... + 15845544.

It is an arithmetic number, because the mean of its divisors is an integer number (7414219800).

Almost surely, 2^101232613305 is an apocalyptic number.

101232613305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101232613305 is a deficient number, since it is larger than the sum of its proper divisors (76708661895).

101232613305 is a wasteful number, since it uses less digits than its factorization.

101232613305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31684781 (or 31684778 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 101232613305 its reverse (503316232101), we get a palindrome (604548845406).

The spelling of 101232613305 in words is "one hundred one billion, two hundred thirty-two million, six hundred thirteen thousand, three hundred five".