1301320013 has 32 divisors (see below), whose sum is σ = 1643673600. Its totient is φ = 1004515776.

The previous prime is 1301320003. The next prime is 1301320037. The reversal of 1301320013 is 3100231031.

It is a cyclic number.

It is not a de Polignac number, because 1301320013 - 2¹⁰ = 1301318989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1301320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527978 + ... + 530436.

It is an arithmetic number, because the mean of its divisors is an integer number (51364800).

Almost surely, 2^1301320013 is an apocalyptic number.

It is an amenable number.

1301320013 is a deficient number, since it is larger than the sum of its proper divisors (342353587).

1301320013 is a wasteful number, since it uses less digits than its factorization.

1301320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1301320013 is about 36073.8133969781. The cubic root of 1301320013 is about 1091.7621562555.

Adding to 1301320013 its reverse (3100231031), we get a palindrome (4401551044).

The spelling of 1301320013 in words is "one billion, three hundred one million, three hundred twenty thousand, thirteen".