13213033101 has 12 divisors (see below), whose sum is σ = 19093918428. Its totient is φ = 8804799744.

The previous prime is 13213033051. The next prime is 13213033103. The reversal of 13213033101 is 10133031231.

It is a happy number.

13213033101 is a `hidden beast` number, since 1 + 321 + 30 + 3 + 310 + 1 = 666.

13213033101 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 2 ways, for example, as 8710488900 + 4502544201 = 93330^2 + 67101^2 .

It is not a de Polignac number, because 13213033101 - 2¹⁷ = 13212902029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213033103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302490 + ... + 343403.

It is an arithmetic number, because the mean of its divisors is an integer number (1591159869).

Almost surely, 2^13213033101 is an apocalyptic number.

It is an amenable number.

13213033101 is a deficient number, since it is larger than the sum of its proper divisors (5880885327).

13213033101 is a wasteful number, since it uses less digits than its factorization.

13213033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648172 (or 648169 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13213033101 its reverse (10133031231), we get a palindrome (23346064332).

The spelling of 13213033101 in words is "thirteen billion, two hundred thirteen million, thirty-three thousand, one hundred one".