1322103314000 has 640 divisors, whose sum is σ = 3900374360064. Its totient is φ = 423843840000.

The previous prime is 1322103313981. The next prime is 1322103314017. The reversal of 1322103314000 is 4133012231.

It is a super-3 number, since 3×1322103314000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4512297854 + ... + 4512298146.

Almost surely, 2^{1322103314000} is an apocalyptic number.

1322103314000 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 1322103314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950187180032).

1322103314000 is an abundant number, since it is smaller than the sum of its proper divisors (2578271046064).

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

1322103314000 is a wasteful number, since it uses less digits than its factorization.

1322103314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

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

Adding to 1322103314000 its reverse (4133012231), we get a palindrome (1326236326231).

The spelling of 1322103314000 in words is "one trillion, three hundred twenty-two billion, one hundred three million, three hundred fourteen thousand".