10011313221 has 64 divisors (see below), whose sum is σ = 17105238528. Its totient is φ = 5067214848.

The previous prime is 10011313183. The next prime is 10011313283. The reversal of 10011313221 is 12231311001.

It is a happy number.

It is not a de Polignac number, because 10011313221 - 2⁷ = 10011313093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011313221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011313421) 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 63 ways as a sum of consecutive naturals, for example, 730585 + ... + 744161.

It is an arithmetic number, because the mean of its divisors is an integer number (267269352).

Almost surely, 2^10011313221 is an apocalyptic number.

It is an amenable number.

10011313221 is a deficient number, since it is larger than the sum of its proper divisors (7093925307).

10011313221 is a wasteful number, since it uses less digits than its factorization.

10011313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13710.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10011313221 its reverse (12231311001), we get a palindrome (22242624222).

The spelling of 10011313221 in words is "ten billion, eleven million, three hundred thirteen thousand, two hundred twenty-one".