13214400312 has 64 divisors (see below), whose sum is σ = 34859808000. Its totient is φ = 4165931264.

The previous prime is 13214400301. The next prime is 13214400317. The reversal of 13214400312 is 21300441231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214400317) 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 15 ways as a sum of consecutive naturals, for example, 85362 + ... + 183617.

It is an arithmetic number, because the mean of its divisors is an integer number (544684500).

Almost surely, 2^13214400312 is an apocalyptic number.

13214400312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13214400312 is an abundant number, since it is smaller than the sum of its proper divisors (21645407688).

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

13214400312 is a wasteful number, since it uses less digits than its factorization.

13214400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269100 (or 269096 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13214400312 its reverse (21300441231), we get a palindrome (34514841543).

The spelling of 13214400312 in words is "thirteen billion, two hundred fourteen million, four hundred thousand, three hundred twelve".