101517314138 has 16 divisors (see below), whose sum is σ = 164663881344. Its totient is φ = 46756409280.

The previous prime is 101517314117. The next prime is 101517314149. The reversal of 101517314138 is 831413715101.

It is a junction number, because it is equal to n+sod(n) for n = 101517314098 and 101517314107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31762268 + ... + 31765463.

It is an arithmetic number, because the mean of its divisors is an integer number (10291492584).

Almost surely, 2^101517314138 is an apocalyptic number.

101517314138 is a deficient number, since it is larger than the sum of its proper divisors (63146567206).

101517314138 is a wasteful number, since it uses less digits than its factorization.

101517314138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63527797.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 101517314138 in words is "one hundred one billion, five hundred seventeen million, three hundred fourteen thousand, one hundred thirty-eight".