10322013000000 has 588 divisors, whose sum is σ = 36967242438240. Its totient is φ = 2540678400000.

The previous prime is 10322012999873. The next prime is 10322013000067. The reversal of 10322013000000 is 31022301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10322013000000.

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 83 ways as a sum of consecutive naturals, for example, 506989821 + ... + 507010179.

Almost surely, 2^{10322013000000} is an apocalyptic number.

10322013000000 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 10322013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483621219120).

10322013000000 is an abundant number, since it is smaller than the sum of its proper divisors (26645229438240).

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

10322013000000 is an frugal number, since it uses more digits than its factorization.

10322013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20430 (or 20382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10322013000000 its reverse (31022301), we get a palindrome (10322044022301).

The spelling of 10322013000000 in words is "ten trillion, three hundred twenty-two billion, thirteen million", and thus it is an aban number.