13310211321 has 24 divisors (see below), whose sum is σ = 20980311456. Its totient is φ = 8064239040.

The previous prime is 13310211311. The next prime is 13310211361. The reversal of 13310211321 is 12311201331.

13310211321 is a `hidden beast` number, since 1 + 331 + 0 + 2 + 11 + 321 = 666.

It is not a de Polignac number, because 13310211321 - 2³¹ = 11162727673 is a prime.

It is a super-3 number, since 3×13310211321³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310211294 and 13310211303.

It is not an unprimeable number, because it can be changed into a prime (13310211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320286 + ... + 359448.

It is an arithmetic number, because the mean of its divisors is an integer number (874179644).

Almost surely, 2^13310211321 is an apocalyptic number.

13310211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13310211321 is a deficient number, since it is larger than the sum of its proper divisors (7670100135).

13310211321 is a wasteful number, since it uses less digits than its factorization.

13310211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42613 (or 42610 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13310211321 its reverse (12311201331), we get a palindrome (25621412652).

The spelling of 13310211321 in words is "thirteen billion, three hundred ten million, two hundred eleven thousand, three hundred twenty-one".