1001105013 has 8 divisors (see below), whose sum is σ = 1344996576. Its totient is φ = 662308400.

The previous prime is 1001105011. The next prime is 1001105023. The reversal of 1001105013 is 3105011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001105013 - 2¹ = 1001105011 is a prime.

It is a super-2 number, since 2×1001105013² = 2004422494107460338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001105013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001105011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273278 + ... + 1274063.

It is an arithmetic number, because the mean of its divisors is an integer number (168124572).

Almost surely, 2^1001105013 is an apocalyptic number.

It is an amenable number.

1001105013 is a deficient number, since it is larger than the sum of its proper divisors (343891563).

1001105013 is a wasteful number, since it uses less digits than its factorization.

1001105013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547475.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 1001105013 is about 31640.2435673305. The cubic root of 1001105013 is about 1000.3682020773.

Adding to 1001105013 its reverse (3105011001), we get a palindrome (4106116014).

The spelling of 1001105013 in words is "one billion, one million, one hundred five thousand, thirteen".