13321320012 has 576 divisors, whose sum is σ = 47367849984. Its totient is φ = 3045703680.

The previous prime is 13321320007. The next prime is 13321320013. The reversal of 13321320012 is 21002312331.

13321320012 is a `hidden beast` number, since 1 + 332 + 1 + 320 + 0 + 12 = 666.

It is a super-2 number, since 2×13321320012² (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 not an unprimeable number, because it can be changed into a prime (13321320013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129333153 + ... + 129333255.

Almost surely, 2^13321320012 is an apocalyptic number.

13321320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23683924992).

13321320012 is an abundant number, since it is smaller than the sum of its proper divisors (34046529972).

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

13321320012 is a wasteful number, since it uses less digits than its factorization.

13321320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321320012 its reverse (21002312331), we get a palindrome (34323632343).

It can be divided in two parts, 13321 and 320012, that added together give a palindrome (333333).

The spelling of 13321320012 in words is "thirteen billion, three hundred twenty-one million, three hundred twenty thousand, twelve".