1322333133000 has 192 divisors, whose sum is σ = 4534838904960. Its totient is φ = 320565520000.

The previous prime is 1322333132969. The next prime is 1322333133007. The reversal of 1322333133000 is 3313332231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1322333133007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458396 + ... + 2184395.

It is an arithmetic number, because the mean of its divisors is an integer number (23618952630).

Almost surely, 2^{1322333133000} is an apocalyptic number.

1322333133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322333133000 is an abundant number, since it is smaller than the sum of its proper divisors (3212505771960).

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

1322333133000 is a wasteful number, since it uses less digits than its factorization.

1322333133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642837 (or 3642812 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1322333133000 its reverse (3313332231), we get a palindrome (1325646465231).

The spelling of 1322333133000 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-three million, one hundred thirty-three thousand".