101373813476817 has 16 divisors (see below), whose sum is σ = 155274767848320. Its totient is φ = 57627748887552.

The previous prime is 101373813476773. The next prime is 101373813476851. The reversal of 101373813476817 is 718674318373101.

It is not a de Polignac number, because 101373813476817 - 2²⁴ = 101373796699601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101373813471817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12506017842 + ... + 12506025947.

It is an arithmetic number, because the mean of its divisors is an integer number (9704672990520).

Almost surely, 2^{101373813476817} is an apocalyptic number.

It is an amenable number.

101373813476817 is a deficient number, since it is larger than the sum of its proper divisors (53900954371503).

101373813476817 is a wasteful number, since it uses less digits than its factorization.

101373813476817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012043992.

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 101373813476817 in words is "one hundred one trillion, three hundred seventy-three billion, eight hundred thirteen million, four hundred seventy-six thousand, eight hundred seventeen".