1300113 has 12 divisors (see below), whose sum is σ = 1977040. Its totient is φ = 821016.

The previous prime is 1300111. The next prime is 1300127. The reversal of 1300113 is 3110031.

It is not a de Polignac number, because 1300113 - 2¹ = 1300111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300095 and 1300104.

It is not an unprimeable number, because it can be changed into a prime (1300111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3631 + ... + 3972.

2^1300113 is an apocalyptic number.

It is an amenable number.

1300113 is a deficient number, since it is larger than the sum of its proper divisors (676927).

1300113 is a wasteful number, since it uses less digits than its factorization.

1300113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7625 counting only the distinct ones).

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

The square root of 1300113 is about 1140.2249778004. The cubic root of 1300113 is about 109.1424504554.

Adding to 1300113 its reverse (3110031), we get a palindrome (4410144).

The spelling of 1300113 in words is "one million, three hundred thousand, one hundred thirteen".