100303200000013 has 2 divisors, whose sum is σ = 100303200000014. Its totient is φ = 100303200000012.

The previous prime is 100303199999993. The next prime is 100303200000041. The reversal of 100303200000013 is 310000002303001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84119016976164 + 16184183023849 = 9171642^2 + 4022957^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303200000013 - 2⁹ = 100303199999501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100303199999939 and 100303200000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100303200000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151600000006 + 50151600000007.

It is an arithmetic number, because the mean of its divisors is an integer number (50151600000007).

Almost surely, 2^{100303200000013} is an apocalyptic number.

It is an amenable number.

100303200000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303200000013 is an equidigital number, since it uses as much as digits as its factorization.

100303200000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100303200000013 its reverse (310000002303001), we get a palindrome (410303202303014).

The spelling of 100303200000013 in words is "one hundred trillion, three hundred three billion, two hundred million, thirteen", and thus it is an aban number.