1001012001013 has 4 divisors (see below), whose sum is σ = 1001014604748. Its totient is φ = 1001009397280.

The previous prime is 1001012000969. The next prime is 1001012001037. The reversal of 1001012001013 is 3101002101001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 351533967409 + 649478033604 = 592903^2 + 805902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001012001013 is a prime.

It is a super-3 number, since 3×1001012001013³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012001043) 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 3 ways as a sum of consecutive naturals, for example, 598528 + ... + 1536313.

It is an arithmetic number, because the mean of its divisors is an integer number (250253651187).

Almost surely, 2^{1001012001013} is an apocalyptic number.

It is an amenable number.

1001012001013 is a deficient number, since it is larger than the sum of its proper divisors (2603735).

1001012001013 is an equidigital number, since it uses as much as digits as its factorization.

1001012001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603734.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1001012001013 its reverse (3101002101001), we get a palindrome (4102014102014).

The spelling of 1001012001013 in words is "one trillion, one billion, twelve million, one thousand, thirteen".