13133303112000 has 224 divisors, whose sum is σ = 43464985724160. Its totient is φ = 3494233651200.

The previous prime is 13133303111989. The next prime is 13133303112071. The reversal of 13133303112000 is 21130333131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9912742 + ... + 11159258.

It is an arithmetic number, because the mean of its divisors is an integer number (194040114840).

Almost surely, 2^{13133303112000} is an apocalyptic number.

13133303112000 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 13133303112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732492862080).

13133303112000 is an abundant number, since it is smaller than the sum of its proper divisors (30331682612160).

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

13133303112000 is a wasteful number, since it uses less digits than its factorization.

13133303112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246986 (or 1246966 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13133303112000 its reverse (21130333131), we get a palindrome (13154433445131).

The spelling of 13133303112000 in words is "thirteen trillion, one hundred thirty-three billion, three hundred three million, one hundred twelve thousand".