1300000113 has 6 divisors (see below), whose sum is σ = 1877777954. Its totient is φ = 866666736.

The previous prime is 1300000103. The next prime is 1300000151. The reversal of 1300000113 is 3110000031.

It can be written as a sum of positive squares in only one way, i.e., 1006665984 + 293334129 = 31728^2 + 17127^2 .

It is not a de Polignac number, because 1300000113 - 2⁶ = 1300000049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 144444457 = 1300000113 / (1 + 3 + 0 + 0 + 0 + 0 + 0 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300000095 and 1300000104.

It is not an unprimeable number, because it can be changed into a prime (1300000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72222220 + ... + 72222237.

Almost surely, 2^1300000113 is an apocalyptic number.

It is an amenable number.

1300000113 is a deficient number, since it is larger than the sum of its proper divisors (577777841).

1300000113 is a wasteful number, since it uses less digits than its factorization.

1300000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144444463 (or 144444460 counting only the distinct ones).

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

The square root of 1300000113 is about 36055.5143216679. The cubic root of 1300000113 is about 1091.3929146835.

Adding to 1300000113 its reverse (3110000031), we get a palindrome (4410000144).

The spelling of 1300000113 in words is "one billion, three hundred million, one hundred thirteen", and thus it is an aban number.