10009101001013 has 8 divisors (see below), whose sum is σ = 10536890236320. Its totient is φ = 9481411210320.

The previous prime is 10009101001001. The next prime is 10009101001021. The reversal of 10009101001013 is 31010010190001.

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 10009101001013 - 2⁸ = 10009101000757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10009101000982 and 10009101001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009101001073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24654503 + ... + 25057188.

It is an arithmetic number, because the mean of its divisors is an integer number (1317111279540).

Almost surely, 2^{10009101001013} is an apocalyptic number.

It is an amenable number.

10009101001013 is a deficient number, since it is larger than the sum of its proper divisors (527789235307).

10009101001013 is a wasteful number, since it uses less digits than its factorization.

10009101001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49722307.

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

Adding to 10009101001013 its reverse (31010010190001), we get a palindrome (41019111191014).

The spelling of 10009101001013 in words is "ten trillion, nine billion, one hundred one million, one thousand, thirteen".