100111320003313 has 2 divisors, whose sum is σ = 100111320003314. Its totient is φ = 100111320003312.

The previous prime is 100111320003307. The next prime is 100111320003337. The reversal of 100111320003313 is 313300023111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84510660649024 + 15600659354289 = 9192968^2 + 3949767^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111320003313 - 2⁹ = 100111320002801 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111320003113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055660001656 + 50055660001657.

It is an arithmetic number, because the mean of its divisors is an integer number (50055660001657).

Almost surely, 2^{100111320003313} is an apocalyptic number.

It is an amenable number.

100111320003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111320003313 is an equidigital number, since it uses as much as digits as its factorization.

100111320003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100111320003313 its reverse (313300023111001), we get a palindrome (413411343114314).

The spelling of 100111320003313 in words is "one hundred trillion, one hundred eleven billion, three hundred twenty million, three thousand, three hundred thirteen".