10001101020013 has 8 divisors (see below), whose sum is σ = 10438456624128. Its totient is φ = 9563955843024.

The previous prime is 10001101019971. The next prime is 10001101020067. The reversal of 10001101020013 is 31002010110001.

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

It is not a de Polignac number, because 10001101020013 - 2⁹ = 10001101019501 is a prime.

It is a super-2 number, since 2×10001101020013² (a number of 27 digits) contains 22 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 (10001101050013) 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, 52509645 + ... + 52699762.

It is an arithmetic number, because the mean of its divisors is an integer number (1304807078016).

Almost surely, 2^{10001101020013} is an apocalyptic number.

It is an amenable number.

10001101020013 is a deficient number, since it is larger than the sum of its proper divisors (437355604115).

10001101020013 is a wasteful number, since it uses less digits than its factorization.

10001101020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105213563.

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

Adding to 10001101020013 its reverse (31002010110001), we get a palindrome (41003111130014).

The spelling of 10001101020013 in words is "ten trillion, one billion, one hundred one million, twenty thousand, thirteen".