13003211211101 has 8 divisors (see below), whose sum is σ = 13008787763160. Its totient is φ = 12997635561792.

The previous prime is 13003211211079. The next prime is 13003211211161. The reversal of 13003211211101 is 10111211230031.

13003211211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 417929925625 + 12585281285476 = 646475^2 + 3547574^2 .

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 13003211211101 - 2¹⁸ = 13003210948957 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 13003211211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003211211161) 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, 29418731 + ... + 29857463.

It is an arithmetic number, because the mean of its divisors is an integer number (1626098470395).

Almost surely, 2^{13003211211101} is an apocalyptic number.

It is an amenable number.

13003211211101 is a deficient number, since it is larger than the sum of its proper divisors (5576552059).

13003211211101 is an equidigital number, since it uses as much as digits as its factorization.

13003211211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451375.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13003211211101 its reverse (10111211230031), we get a palindrome (23114422441132).

The spelling of 13003211211101 in words is "thirteen trillion, three billion, two hundred eleven million, two hundred eleven thousand, one hundred one".