1323213131214 has 96 divisors (see below), whose sum is σ = 3271799853504. Its totient is φ = 382878213120.

The previous prime is 1323213131189. The next prime is 1323213131249. The reversal of 1323213131214 is 4121313123231.

1323213131214 is a `hidden beast` number, since 1 + 3 + 2 + 321 + 313 + 1 + 21 + 4 = 666.

It is a super-2 number, since 2×1323213131214² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4729104 + ... + 5001084.

It is an arithmetic number, because the mean of its divisors is an integer number (34081248474).

Almost surely, 2^{1323213131214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323213131214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635899926752).

1323213131214 is an abundant number, since it is smaller than the sum of its proper divisors (1948586722290).

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

1323213131214 is a wasteful number, since it uses less digits than its factorization.

1323213131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273242 (or 273239 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1323213131214 its reverse (4121313123231), we get a palindrome (5444526254445).

The spelling of 1323213131214 in words is "one trillion, three hundred twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred fourteen".