1300003113 has 16 divisors (see below), whose sum is σ = 1800634752. Its totient is φ = 833616000.

The previous prime is 1300003091. The next prime is 1300003139. The reversal of 1300003113 is 3113000031.

It is not a de Polignac number, because 1300003113 - 2¹⁰ = 1300002089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1300003163) 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 15 ways as a sum of consecutive naturals, for example, 65698 + ... + 83163.

It is an arithmetic number, because the mean of its divisors is an integer number (112539672).

Almost surely, 2^1300003113 is an apocalyptic number.

It is an amenable number.

1300003113 is a deficient number, since it is larger than the sum of its proper divisors (500631639).

1300003113 is a wasteful number, since it uses less digits than its factorization.

1300003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148976.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1300003113 is about 36055.5559241568. Note that the first 3 decimals coincide. The cubic root of 1300003113 is about 1091.3937542158.

Adding to 1300003113 its reverse (3113000031), we get a palindrome (4413003144).

The spelling of 1300003113 in words is "one billion, three hundred million, three thousand, one hundred thirteen".