13333231332000 has 288 divisors, whose sum is σ = 47851330821840. Its totient is φ = 3515577753600.

The previous prime is 13333231331941. The next prime is 13333231332037. The reversal of 13333231332000 is 23313233331.

13333231332000 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 323 + 1 + 332 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1276475155344 + 12056756176656 = 1129812^2 + 3472284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123284 + ... + 5284716.

Almost surely, 2^{13333231332000} is an apocalyptic number.

13333231332000 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 13333231332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925665410920).

13333231332000 is an abundant number, since it is smaller than the sum of its proper divisors (34518099489840).

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

13333231332000 is a wasteful number, since it uses less digits than its factorization.

13333231332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161553 (or 4161532 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13333231332000 its reverse (23313233331), we get a palindrome (13356544565331).

The spelling of 13333231332000 in words is "thirteen trillion, three hundred thirty-three billion, two hundred thirty-one million, three hundred thirty-two thousand".