13311412321312 has 96 divisors (see below), whose sum is σ = 30812038975872. Its totient is φ = 5541342326784.

The previous prime is 13311412321309. The next prime is 13311412321313. The reversal of 13311412321312 is 21312321411331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13311412321313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560563 + ... + 6269005.

It is an arithmetic number, because the mean of its divisors is an integer number (320958739332).

Almost surely, 2^{13311412321312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311412321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406019487936).

13311412321312 is an abundant number, since it is smaller than the sum of its proper divisors (17500626654560).

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

13311412321312 is a wasteful number, since it uses less digits than its factorization.

13311412321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709090 (or 2709082 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

Adding to 13311412321312 its reverse (21312321411331), we get a palindrome (34623733732643).

The spelling of 13311412321312 in words is "thirteen trillion, three hundred eleven billion, four hundred twelve million, three hundred twenty-one thousand, three hundred twelve".