1300260013 has 18 divisors (see below), whose sum is σ = 1430163294. Its totient is φ = 1175157504.

The previous prime is 1300259999. The next prime is 1300260083. The reversal of 1300260013 is 3100620031.

It can be written as a sum of positive squares in 9 ways, for example, as 228221449 + 1072038564 = 15107^2 + 32742^2 .

It is not a de Polignac number, because 1300260013 - 2⁵ = 1300259981 is a prime.

It is a super-2 number, since 2×1300260013² = 3381352202813520338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300260083) 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 17 ways as a sum of consecutive naturals, for example, 9490881 + ... + 9491017.

Almost surely, 2^1300260013 is an apocalyptic number.

1300260013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300260013 is a deficient number, since it is larger than the sum of its proper divisors (129903281).

1300260013 is an frugal number, since it uses more digits than its factorization.

1300260013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1300260013 is about 36059.1183059154. The cubic root of 1300260013 is about 1091.4656413740.

Adding to 1300260013 its reverse (3100620031), we get a palindrome (4400880044).

The spelling of 1300260013 in words is "one billion, three hundred million, two hundred sixty thousand, thirteen".