1322013131200 has 168 divisors, whose sum is σ = 3275588661408. Its totient is φ = 525137080320.

The previous prime is 1322013131171. The next prime is 1322013131221. The reversal of 1322013131200 is 21313102231.

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 23 ways as a sum of consecutive naturals, for example, 294236154 + ... + 294240646.

It is an arithmetic number, because the mean of its divisors is an integer number (19497551556).

Almost surely, 2^{1322013131200} is an apocalyptic number.

1322013131200 is a gapful number since it is divisible by the number (10) 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 1322013131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637794330704).

1322013131200 is an abundant number, since it is smaller than the sum of its proper divisors (1953575530208).

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

1322013131200 is a wasteful number, since it uses less digits than its factorization.

1322013131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1322013131200 its reverse (21313102231), we get a palindrome (1343326233431).

The spelling of 1322013131200 in words is "one trillion, three hundred twenty-two billion, thirteen million, one hundred thirty-one thousand, two hundred".