10013211033101 has 16 divisors (see below), whose sum is σ = 10279123015680. Its totient is φ = 9750747525120.

The previous prime is 10013211033061. The next prime is 10013211033139. The reversal of 10013211033101 is 10133011231001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10013211033101 is a prime.

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 10013211033101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013211038101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3760625 + ... + 5845401.

It is an arithmetic number, because the mean of its divisors is an integer number (642445188480).

Almost surely, 2^{10013211033101} is an apocalyptic number.

It is an amenable number.

10013211033101 is a deficient number, since it is larger than the sum of its proper divisors (265911982579).

10013211033101 is a wasteful number, since it uses less digits than its factorization.

10013211033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085604.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10013211033101 its reverse (10133011231001), we get a palindrome (20146222264102).

The spelling of 10013211033101 in words is "ten trillion, thirteen billion, two hundred eleven million, thirty-three thousand, one hundred one".