100103232013 has 2 divisors, whose sum is σ = 100103232014. Its totient is φ = 100103232012.

The previous prime is 100103231989. The next prime is 100103232037. The reversal of 100103232013 is 310232301001.

It is a balanced prime because it is at equal distance from previous prime (100103231989) and next prime (100103232037).

It can be written as a sum of positive squares in only one way, i.e., 91057890564 + 9045341449 = 301758^2 + 95107^2 .

It is a cyclic number.

It is not a de Polignac number, because 100103232013 - 2¹⁷ = 100103100941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100103232613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051616006 + 50051616007.

It is an arithmetic number, because the mean of its divisors is an integer number (50051616007).

Almost surely, 2^100103232013 is an apocalyptic number.

It is an amenable number.

100103232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100103232013 is an equidigital number, since it uses as much as digits as its factorization.

100103232013 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 100103232013 its reverse (310232301001), we get a palindrome (410335533014).

The spelling of 100103232013 in words is "one hundred billion, one hundred three million, two hundred thirty-two thousand, thirteen".