10002013331200 has 324 divisors, whose sum is σ = 27595156078224. Its totient is φ = 3585849344000.

The previous prime is 10002013331161. The next prime is 10002013331203. The reversal of 10002013331200 is 213331020001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002013331203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 54891444 + ... + 55073356.

Almost surely, 2^{10002013331200} is an apocalyptic number.

10002013331200 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 10002013331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797578039112).

10002013331200 is an abundant number, since it is smaller than the sum of its proper divisors (17593142747024).

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

10002013331200 is a wasteful number, since it uses less digits than its factorization.

10002013331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182032 (or 182002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10002013331200 its reverse (213331020001), we get a palindrome (10215344351201).

The spelling of 10002013331200 in words is "ten trillion, two billion, thirteen million, three hundred thirty-one thousand, two hundred".