10013313212000 has 768 divisors, whose sum is σ = 29933175767040. Its totient is φ = 3218003712000.

The previous prime is 10013313211999. The next prime is 10013313212047. The reversal of 10013313212000 is 21231331001.

It is a super-2 number, since 2×10013313212000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10013313212000.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10312371515 + ... + 10312372485.

It is an arithmetic number, because the mean of its divisors is an integer number (38975489280).

Almost surely, 2^{10013313212000} is an apocalyptic number.

10013313212000 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 10013313212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966587883520).

10013313212000 is an abundant number, since it is smaller than the sum of its proper divisors (19919862555040).

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

10013313212000 is a wasteful number, since it uses less digits than its factorization.

10013313212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10013313212000 its reverse (21231331001), we get a palindrome (10034544543001).

The spelling of 10013313212000 in words is "ten trillion, thirteen billion, three hundred thirteen million, two hundred twelve thousand".