1001010112013 has 4 divisors (see below), whose sum is σ = 1001927629248. Its totient is φ = 1000092594780.

The previous prime is 1001010112007. The next prime is 1001010112019. The reversal of 1001010112013 is 3102110101001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (1001010112007) and next prime (1001010112019).

It is a cyclic number.

It is not a de Polignac number, because 1001010112013 - 2⁶ = 1001010111949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001010111985 and 1001010112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010112019) 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 3 ways as a sum of consecutive naturals, for example, 458756981 + ... + 458759162.

It is an arithmetic number, because the mean of its divisors is an integer number (250481907312).

Almost surely, 2^{1001010112013} is an apocalyptic number.

It is an amenable number.

1001010112013 is a deficient number, since it is larger than the sum of its proper divisors (917517235).

1001010112013 is an equidigital number, since it uses as much as digits as its factorization.

1001010112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917517234.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001010112013 its reverse (3102110101001), we get a palindrome (4103120213014).

The spelling of 1001010112013 in words is "one trillion, one billion, ten million, one hundred twelve thousand, thirteen".