100001332213 has 2 divisors, whose sum is σ = 100001332214. Its totient is φ = 100001332212.

The previous prime is 100001332129. The next prime is 100001332231. The reversal of 100001332213 is 312233100001.

Together with next prime (100001332231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98308585764 + 1692746449 = 313542^2 + 41143^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001332213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001332273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000666106 + 50000666107.

It is an arithmetic number, because the mean of its divisors is an integer number (50000666107).

Almost surely, 2^100001332213 is an apocalyptic number.

It is an amenable number.

100001332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001332213 is an equidigital number, since it uses as much as digits as its factorization.

100001332213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100001332213 its reverse (312233100001), we get a palindrome (412234432214).

The spelling of 100001332213 in words is "one hundred billion, one million, three hundred thirty-two thousand, two hundred thirteen".