10023312321000 has 384 divisors, whose sum is σ = 37957583439360. Its totient is φ = 2364220224000.

The previous prime is 10023312320999. The next prime is 10023312321013. The reversal of 10023312321000 is 12321332001.

10023312321000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 331 + 232 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2294817 + ... + 5031183.

It is an arithmetic number, because the mean of its divisors is an integer number (98847873540).

Almost surely, 2^{10023312321000} is an apocalyptic number.

10023312321000 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 10023312321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978791719680).

10023312321000 is an abundant number, since it is smaller than the sum of its proper divisors (27934271118360).

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

10023312321000 is a wasteful number, since it uses less digits than its factorization.

10023312321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736442 (or 2736425 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023312321000 its reverse (12321332001), we get a palindrome (10035633653001).

The spelling of 10023312321000 in words is "ten trillion, twenty-three billion, three hundred twelve million, three hundred twenty-one thousand".