11310032211221 has 32 divisors (see below), whose sum is σ = 11601410457600. Its totient is φ = 11023412400000.

The previous prime is 11310032211211. The next prime is 11310032211251. The reversal of 11310032211221 is 12211223001311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11310032211221 is a prime.

It is a super-3 number, since 3×11310032211221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11310032211193 and 11310032211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310032211211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2936905946 + ... + 2936909796.

It is an arithmetic number, because the mean of its divisors is an integer number (362544076800).

Almost surely, 2^{11310032211221} is an apocalyptic number.

It is an amenable number.

11310032211221 is a deficient number, since it is larger than the sum of its proper divisors (291378246379).

11310032211221 is a wasteful number, since it uses less digits than its factorization.

11310032211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11310032211221 its reverse (12211223001311), we get a palindrome (23521255212532).

The spelling of 11310032211221 in words is "eleven trillion, three hundred ten billion, thirty-two million, two hundred eleven thousand, two hundred twenty-one".