100993820230319 has 2 divisors, whose sum is σ = 100993820230320. Its totient is φ = 100993820230318.

The previous prime is 100993820230243. The next prime is 100993820230357. The reversal of 100993820230319 is 913032028399001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100993820230319 - 2²⁰ = 100993819181743 is a prime.

It is a super-3 number, since 3×100993820230319³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100993820230399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50496910115159 + 50496910115160.

It is an arithmetic number, because the mean of its divisors is an integer number (50496910115160).

Almost surely, 2^{100993820230319} is an apocalyptic number.

100993820230319 is a deficient number, since it is larger than the sum of its proper divisors (1).

100993820230319 is an equidigital number, since it uses as much as digits as its factorization.

100993820230319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 50.

The spelling of 100993820230319 in words is "one hundred trillion, nine hundred ninety-three billion, eight hundred twenty million, two hundred thirty thousand, three hundred nineteen".