10144320013 has 2 divisors, whose sum is σ = 10144320014. Its totient is φ = 10144320012.

The previous prime is 10144319981. The next prime is 10144320029. The reversal of 10144320013 is 31002344101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10095627529 + 48692484 = 100477^2 + 6978^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144320013 - 2⁵ = 10144319981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144320073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072160006 + 5072160007.

It is an arithmetic number, because the mean of its divisors is an integer number (5072160007).

Almost surely, 2^10144320013 is an apocalyptic number.

It is an amenable number.

10144320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144320013 is an equidigital number, since it uses as much as digits as its factorization.

10144320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10144320013 its reverse (31002344101), we get a palindrome (41146664114).

The spelling of 10144320013 in words is "ten billion, one hundred forty-four million, three hundred twenty thousand, thirteen".