10146322013 has 2 divisors, whose sum is σ = 10146322014. Its totient is φ = 10146322012.

The previous prime is 10146322001. The next prime is 10146322019. The reversal of 10146322013 is 31022364101.

10146322013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9534155449 + 612166564 = 97643^2 + 24742^2 .

It is a cyclic number.

It is not a de Polignac number, because 10146322013 - 2³⁰ = 9072580189 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10146322013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10146322019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5073161006 + 5073161007.

It is an arithmetic number, because the mean of its divisors is an integer number (5073161007).

Almost surely, 2^10146322013 is an apocalyptic number.

It is an amenable number.

10146322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10146322013 is an equidigital number, since it uses as much as digits as its factorization.

10146322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10146322013 its reverse (31022364101), we get a palindrome (41168686114).

The spelling of 10146322013 in words is "ten billion, one hundred forty-six million, three hundred twenty-two thousand, thirteen".