1001000010113 has 4 divisors (see below), whose sum is σ = 1025414644548. Its totient is φ = 976585375680.

The previous prime is 1001000010071. The next prime is 1001000010119. The reversal of 1001000010113 is 3110100001001.

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 577209426049 + 423790584064 = 759743^2 + 650992^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001000010113 - 2³⁴ = 983820140929 is a prime.

It is a super-2 number, since 2×1001000010113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000010113.

It is not an unprimeable number, because it can be changed into a prime (1001000010119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12207317156 + ... + 12207317237.

It is an arithmetic number, because the mean of its divisors is an integer number (256353661137).

Almost surely, 2^{1001000010113} is an apocalyptic number.

It is an amenable number.

1001000010113 is a deficient number, since it is larger than the sum of its proper divisors (24414634435).

1001000010113 is an equidigital number, since it uses as much as digits as its factorization.

1001000010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24414634434.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1001000010113 its reverse (3110100001001), we get a palindrome (4111100011114).

The spelling of 1001000010113 in words is "one trillion, one billion, ten thousand, one hundred thirteen".