101516418307813 has 16 divisors (see below), whose sum is σ = 108394347409920. Its totient is φ = 94843865161584.

The previous prime is 101516418307771. The next prime is 101516418307823. The reversal of 101516418307813 is 318703814615101.

It is a cyclic number.

It is not a de Polignac number, because 101516418307813 - 2⁴¹ = 99317395052261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516418307823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289723558 + ... + 290073736.

It is an arithmetic number, because the mean of its divisors is an integer number (6774646713120).

Almost surely, 2^{101516418307813} is an apocalyptic number.

It is an amenable number.

101516418307813 is a deficient number, since it is larger than the sum of its proper divisors (6877929102107).

101516418307813 is a wasteful number, since it uses less digits than its factorization.

101516418307813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643368.

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 101516418307813 in words is "one hundred one trillion, five hundred sixteen billion, four hundred eighteen million, three hundred seven thousand, eight hundred thirteen".