100100313321193 has 2 divisors, whose sum is σ = 100100313321194. Its totient is φ = 100100313321192.

The previous prime is 100100313321179. The next prime is 100100313321233. The reversal of 100100313321193 is 391123313001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59865687493264 + 40234625827929 = 7737292^2 + 6343077^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100313321193 - 2⁹ = 100100313320681 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100313321163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050156660596 + 50050156660597.

It is an arithmetic number, because the mean of its divisors is an integer number (50050156660597).

Almost surely, 2^{100100313321193} is an apocalyptic number.

It is an amenable number.

100100313321193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100313321193 is an equidigital number, since it uses as much as digits as its factorization.

100100313321193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

Adding to 100100313321193 its reverse (391123313001001), we get a palindrome (491223626322194).

The spelling of 100100313321193 in words is "one hundred trillion, one hundred billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred ninety-three".