1332031233000 has 512 divisors, whose sum is σ = 4732535808000. Its totient is φ = 309220070400.

The previous prime is 1332031232989. The next prime is 1332031233023. The reversal of 1332031233000 is 3321302331.

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 127 ways as a sum of consecutive naturals, for example, 168203041 + ... + 168210959.

It is an arithmetic number, because the mean of its divisors is an integer number (9243234000).

Almost surely, 2^{1332031233000} is an apocalyptic number.

1332031233000 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 1332031233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366267904000).

1332031233000 is an abundant number, since it is smaller than the sum of its proper divisors (3400504575000).

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

1332031233000 is a wasteful number, since it uses less digits than its factorization.

1332031233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1332031233000 its reverse (3321302331), we get a palindrome (1335352535331).

The spelling of 1332031233000 in words is "one trillion, three hundred thirty-two billion, thirty-one million, two hundred thirty-three thousand".