10321213120320 has 224 divisors, whose sum is σ = 33888837943296. Its totient is φ = 2658665318400.

The previous prime is 10321213120319. The next prime is 10321213120411. The reversal of 10321213120320 is 2302131212301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15961705 + ... + 16595735.

It is an arithmetic number, because the mean of its divisors is an integer number (151289455104).

Almost surely, 2^{10321213120320} is an apocalyptic number.

10321213120320 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 10321213120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944418971648).

10321213120320 is an abundant number, since it is smaller than the sum of its proper divisors (23567624822976).

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

10321213120320 is a wasteful number, since it uses less digits than its factorization.

10321213120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634629 (or 634619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10321213120320 its reverse (2302131212301), we get a palindrome (12623344332621).

The spelling of 10321213120320 in words is "ten trillion, three hundred twenty-one billion, two hundred thirteen million, one hundred twenty thousand, three hundred twenty".