100319731217 has 2 divisors, whose sum is σ = 100319731218. Its totient is φ = 100319731216.

The previous prime is 100319731159. The next prime is 100319731243. The reversal of 100319731217 is 712137913001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83523312016 + 16796419201 = 289004^2 + 129601^2 .

It is an emirp because it is prime and its reverse (712137913001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100319731217 - 2³⁰ = 99245989393 is a prime.

It is a super-2 number, since 2×100319731217² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100319731517) by changing a digit.

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 as a sum of consecutive naturals, namely, 50159865608 + 50159865609.

It is an arithmetic number, because the mean of its divisors is an integer number (50159865609).

Almost surely, 2^100319731217 is an apocalyptic number.

It is an amenable number.

100319731217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100319731217 is an equidigital number, since it uses as much as digits as its factorization.

100319731217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 35.

The spelling of 100319731217 in words is "one hundred billion, three hundred nineteen million, seven hundred thirty-one thousand, two hundred seventeen".