13133333010000 has 800 divisors, whose sum is σ = 49143622606848. Its totient is φ = 2959384320000.

The previous prime is 13133333009989. The next prime is 13133333010037. The reversal of 13133333010000 is 1033333131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 159 ways as a sum of consecutive naturals, for example, 5010808690 + ... + 5010811310.

Almost surely, 2^{13133333010000} is an apocalyptic number.

13133333010000 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 13133333010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24571811303424).

13133333010000 is an abundant number, since it is smaller than the sum of its proper divisors (36010289596848).

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

13133333010000 is a wasteful number, since it uses less digits than its factorization.

13133333010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13133333010000 its reverse (1033333131), we get a palindrome (13134366343131).

The spelling of 13133333010000 in words is "thirteen trillion, one hundred thirty-three billion, three hundred thirty-three million, ten thousand".