1000001030013 has 12 divisors (see below), whose sum is σ = 1444474230108. Its totient is φ = 666654292800.

The previous prime is 1000001030011. The next prime is 1000001030029. The reversal of 1000001030013 is 3100301000001.

It can be written as a sum of positive squares in 2 ways, for example, as 553919970564 + 446081059449 = 744258^2 + 667893^2 .

It is not a de Polignac number, because 1000001030013 - 2¹ = 1000001030011 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000001029977 and 1000001030004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001030011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591520 + ... + 1532937.

It is an arithmetic number, because the mean of its divisors is an integer number (120372852509).

Almost surely, 2^{1000001030013} is an apocalyptic number.

It is an amenable number.

1000001030013 is a deficient number, since it is larger than the sum of its proper divisors (444473200095).

1000001030013 is a wasteful number, since it uses less digits than its factorization.

1000001030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176764 (or 2176761 counting only the distinct ones).

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

Adding to 1000001030013 its reverse (3100301000001), we get a palindrome (4100302030014).

The spelling of 1000001030013 in words is "one trillion, one million, thirty thousand, thirteen".