1332133110000 has 1200 divisors, whose sum is σ = 5928247353600. Its totient is φ = 276736320000.

The previous prime is 1332133109953. The next prime is 1332133110001. The reversal of 1332133110000 is 113312331.

It is a happy number.

1332133110000 is a `hidden beast` number, since 1 + 3 + 321 + 331 + 10 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332133110001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 339568039 + ... + 339571961.

It is an arithmetic number, because the mean of its divisors is an integer number (4940206128).

Almost surely, 2^{1332133110000} is an apocalyptic number.

1332133110000 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 1332133110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964123676800).

1332133110000 is an abundant number, since it is smaller than the sum of its proper divisors (4596114243600).

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

1332133110000 is a wasteful number, since it uses less digits than its factorization.

1332133110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1332133110000 its reverse (113312331), we get a palindrome (1332246422331).

The spelling of 1332133110000 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-three million, one hundred ten thousand".