13331332100000 has 72 divisors (see below), whose sum is σ = 32805475651116. Its totient is φ = 5332532800000.

The previous prime is 13331332099999. The next prime is 13331332100027. The reversal of 13331332100000 is 123313331.

13331332100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1101399874576 + 12229932225424 = 1049476^2 + 3497132^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66556661 + ... + 66756660.

Almost surely, 2^{13331332100000} is an apocalyptic number.

13331332100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331332100000 is an abundant number, since it is smaller than the sum of its proper divisors (19474143551116).

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

13331332100000 is an frugal number, since it uses more digits than its factorization.

13331332100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133313356 (or 133313328 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13331332100000 its reverse (123313331), we get a palindrome (13331455413331).

The spelling of 13331332100000 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred thousand".