100214044303013 has 2 divisors, whose sum is σ = 100214044303014. Its totient is φ = 100214044303012.

The previous prime is 100214044303007. The next prime is 100214044303057. The reversal of 100214044303013 is 310303440412001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54239365808644 + 45974678494369 = 7364738^2 + 6780463^2 .

It is a cyclic number.

It is not a de Polignac number, because 100214044303013 - 2⁴ = 100214044302997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100214044308013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50107022151506 + 50107022151507.

It is an arithmetic number, because the mean of its divisors is an integer number (50107022151507).

Almost surely, 2^{100214044303013} is an apocalyptic number.

It is an amenable number.

100214044303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100214044303013 is an equidigital number, since it uses as much as digits as its factorization.

100214044303013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 100214044303013 its reverse (310303440412001), we get a palindrome (410517484715014).

The spelling of 100214044303013 in words is "one hundred trillion, two hundred fourteen billion, forty-four million, three hundred three thousand, thirteen".