11330034211221 has 16 divisors (see below), whose sum is σ = 16480108200000. Its totient is φ = 6866663051520.

The previous prime is 11330034211129. The next prime is 11330034211303. The reversal of 11330034211221 is 12211243003311.

It is not a de Polignac number, because 11330034211221 - 2²⁵ = 11330000656789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11330034211191 and 11330034211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330034201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14256861 + ... + 15030573.

It is an arithmetic number, because the mean of its divisors is an integer number (1030006762500).

Almost surely, 2^{11330034211221} is an apocalyptic number.

11330034211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11330034211221 is a deficient number, since it is larger than the sum of its proper divisors (5150073988779).

11330034211221 is a wasteful number, since it uses less digits than its factorization.

11330034211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217476.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11330034211221 its reverse (12211243003311), we get a palindrome (23541277214532).

The spelling of 11330034211221 in words is "eleven trillion, three hundred thirty billion, thirty-four million, two hundred eleven thousand, two hundred twenty-one".