1001010091013 has 4 divisors (see below), whose sum is σ = 1001021420928. Its totient is φ = 1000998761100.

The previous prime is 1001010091009. The next prime is 1001010091087. The reversal of 1001010091013 is 3101900101001.

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 a cyclic number.

It is not a de Polignac number, because 1001010091013 - 2² = 1001010091009 is a prime.

It is a super-5 number, since 5×1001010091013⁵ (a number of 61 digits) contains 55555 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001010090982 and 1001010091000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010091513) 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, 5531381 + ... + 5709482.

It is an arithmetic number, because the mean of its divisors is an integer number (250255355232).

Almost surely, 2^{1001010091013} is an apocalyptic number.

It is an amenable number.

1001010091013 is a deficient number, since it is larger than the sum of its proper divisors (11329915).

1001010091013 is an equidigital number, since it uses as much as digits as its factorization.

1001010091013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329914.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 1001010091013 its reverse (3101900101001), we get a palindrome (4102910192014).

The spelling of 1001010091013 in words is "one trillion, one billion, ten million, ninety-one thousand, thirteen".