1300000013 has 8 divisors (see below), whose sum is σ = 1482353208. Its totient is φ = 1129411584.

The previous prime is 1300000003. The next prime is 1300000021. The reversal of 1300000013 is 3100000031.

It can be written as a sum of positive squares in 4 ways, for example, as 291111844 + 1008888169 = 17062^2 + 31763^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1300000013 - 2¹⁶ = 1299934477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300000003) 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 in 7 ways as a sum of consecutive naturals, for example, 2940956 + ... + 2941397.

It is an arithmetic number, because the mean of its divisors is an integer number (185294151).

Almost surely, 2^1300000013 is an apocalyptic number.

1300000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300000013 is a deficient number, since it is larger than the sum of its proper divisors (182353195).

1300000013 is a wasteful number, since it uses less digits than its factorization.

1300000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882383.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1300000013 is about 36055.5129349175. The cubic root of 1300000013 is about 1091.3928866991.

Adding to 1300000013 its reverse (3100000031), we get a palindrome (4400000044).

It can be divided in two parts, 13000000 and 13, that multiplied together give a square (169000000 = 13000²).

The spelling of 1300000013 in words is "one billion, three hundred million, thirteen", and thus it is an aban number.