1000300013 has 16 divisors (see below), whose sum is σ = 1051750656. Its totient is φ = 950389440.

The previous prime is 1000300003. The next prime is 1000300031. The reversal of 1000300013 is 3100030001.

It is not a de Polignac number, because 1000300013 - 2⁸ = 1000299757 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 (1000300003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348203 + ... + 351063.

It is an arithmetic number, because the mean of its divisors is an integer number (65734416).

Almost surely, 2^1000300013 is an apocalyptic number.

It is an amenable number.

1000300013 is a deficient number, since it is larger than the sum of its proper divisors (51450643).

1000300013 is a wasteful number, since it uses less digits than its factorization.

1000300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124.

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

The square root of 1000300013 is about 31627.5198679884. The cubic root of 1000300013 is about 1000.0999943341.

Adding to 1000300013 its reverse (3100030001), we get a palindrome (4100330014).

It can be divided in two parts, 100030001 and 3, that multiplied together give a palindrome (300090003).

The spelling of 1000300013 in words is "one billion, three hundred thousand, thirteen".