13221032101 has 8 divisors (see below), whose sum is σ = 13305726680. Its totient is φ = 13136504832.

The previous prime is 13221032093. The next prime is 13221032129. The reversal of 13221032101 is 10123012231.

It can be written as a sum of positive squares in 4 ways, for example, as 1628203201 + 11592828900 = 40351^2 + 107670^2 .

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 13221032101 - 2³ = 13221032093 is a prime.

It is a super-3 number, since 3×13221032101³ (a number of 31 digits) contains 333 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 (13221032131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118681 + ... + 201313.

It is an arithmetic number, because the mean of its divisors is an integer number (1663215835).

Almost surely, 2^13221032101 is an apocalyptic number.

It is an amenable number.

13221032101 is a deficient number, since it is larger than the sum of its proper divisors (84694579).

13221032101 is an equidigital number, since it uses as much as digits as its factorization.

13221032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83655.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13221032101 its reverse (10123012231), we get a palindrome (23344044332).

The spelling of 13221032101 in words is "thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred one".