100020100433213 has 2 divisors, whose sum is σ = 100020100433214. Its totient is φ = 100020100433212.

The previous prime is 100020100433177. The next prime is 100020100433269. The reversal of 100020100433213 is 312334001020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97341961637209 + 2678138796004 = 9866203^2 + 1636502^2 .

It is an emirp because it is prime and its reverse (312334001020001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100020100433213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020190433213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010050216606 + 50010050216607.

It is an arithmetic number, because the mean of its divisors is an integer number (50010050216607).

Almost surely, 2^{100020100433213} is an apocalyptic number.

It is an amenable number.

100020100433213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020100433213 is an equidigital number, since it uses as much as digits as its factorization.

100020100433213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100020100433213 its reverse (312334001020001), we get a palindrome (412354101453214).

The spelling of 100020100433213 in words is "one hundred trillion, twenty billion, one hundred million, four hundred thirty-three thousand, two hundred thirteen".