1001030013 has 6 divisors (see below), whose sum is σ = 1445932254. Its totient is φ = 667353336.

The previous prime is 1001030011. The next prime is 1001030099. The reversal of 1001030013 is 3100301001.

It can be written as a sum of positive squares in only one way, i.e., 776569689 + 224460324 = 27867^2 + 14982^2 .

It is not a de Polignac number, because 1001030013 - 2¹ = 1001030011 is a prime.

It is a super-2 number, since 2×1001030013² = 2004122173853560338, which contains 22 as substring.

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: 111225557 = 1001030013 / (1 + 0 + 0 + 1 + 0 + 3 + 0 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1001029977 and 1001030004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001030011) 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 5 ways as a sum of consecutive naturals, for example, 55612770 + ... + 55612787.

It is an arithmetic number, because the mean of its divisors is an integer number (240988709).

Almost surely, 2^1001030013 is an apocalyptic number.

It is an amenable number.

1001030013 is a deficient number, since it is larger than the sum of its proper divisors (444902241).

1001030013 is a wasteful number, since it uses less digits than its factorization.

1001030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111225563 (or 111225560 counting only the distinct ones).

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

The square root of 1001030013 is about 31639.0583456588. The cubic root of 1001030013 is about 1000.3432198533.

Adding to 1001030013 its reverse (3100301001), we get a palindrome (4101331014).

The spelling of 1001030013 in words is "one billion, one million, thirty thousand, thirteen".