10013320323000 has 768 divisors, whose sum is σ = 36088146432000. Its totient is φ = 2499735168000.

The previous prime is 10013320322983. The next prime is 10013320323001. The reversal of 10013320323000 is 32302331001.

10013320323000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 0 + 32 + 300 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013320323001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1847814291 + ... + 1847819709.

It is an arithmetic number, because the mean of its divisors is an integer number (46989774000).

Almost surely, 2^{10013320323000} is an apocalyptic number.

10013320323000 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 10013320323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044073216000).

10013320323000 is an abundant number, since it is smaller than the sum of its proper divisors (26074826109000).

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

10013320323000 is a wasteful number, since it uses less digits than its factorization.

10013320323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10013320323000 its reverse (32302331001), we get a palindrome (10045622654001).

The spelling of 10013320323000 in words is "ten trillion, thirteen billion, three hundred twenty million, three hundred twenty-three thousand".