1321431320000 has 840 divisors, whose sum is σ = 3801791687232. Its totient is φ = 454671360000.

The previous prime is 1321431319987. The next prime is 1321431320009. The reversal of 1321431320000 is 231341231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321431320009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8416759922 + ... + 8416760078.

Almost surely, 2^{1321431320000} is an apocalyptic number.

1321431320000 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 1321431320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900895843616).

1321431320000 is an abundant number, since it is smaller than the sum of its proper divisors (2480360367232).

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

1321431320000 is a wasteful number, since it uses less digits than its factorization.

1321431320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1321431320000 its reverse (231341231), we get a palindrome (1321662661231).

The spelling of 1321431320000 in words is "one trillion, three hundred twenty-one billion, four hundred thirty-one million, three hundred twenty thousand".