101338024073 has 32 divisors (see below), whose sum is σ = 120448121472. Its totient is φ = 84046464000.

The previous prime is 101338024013. The next prime is 101338024079. The reversal of 101338024073 is 370420833101.

It is a cyclic number.

It is not a de Polignac number, because 101338024073 - 2⁸ = 101338023817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101338024079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8472065 + ... + 8484017.

It is an arithmetic number, because the mean of its divisors is an integer number (3764003796).

Almost surely, 2^101338024073 is an apocalyptic number.

101338024073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101338024073 is a deficient number, since it is larger than the sum of its proper divisors (19110097399).

101338024073 is a wasteful number, since it uses less digits than its factorization.

101338024073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 101338024073 its reverse (370420833101), we get a palindrome (471758857174).

The spelling of 101338024073 in words is "one hundred one billion, three hundred thirty-eight million, twenty-four thousand, seventy-three".