13221210312 has 32 divisors (see below), whose sum is σ = 36725584800. Its totient is φ = 4407070032.

The previous prime is 13221210281. The next prime is 13221210323. The reversal of 13221210312 is 21301212231.

13221210312 is a `hidden beast` number, since 132 + 212 + 10 + 312 = 666.

It is a super-2 number, since 2×13221210312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 30604438 + ... + 30604869.

It is an arithmetic number, because the mean of its divisors is an integer number (1147674525).

Almost surely, 2^13221210312 is an apocalyptic number.

13221210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221210312 is an abundant number, since it is smaller than the sum of its proper divisors (23504374488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221210312 is a wasteful number, since it uses less digits than its factorization.

13221210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61209322 (or 61209312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13221210312 its reverse (21301212231), we get a palindrome (34522422543).

The spelling of 13221210312 in words is "thirteen billion, two hundred twenty-one million, two hundred ten thousand, three hundred twelve".