12133311033000 has 128 divisors (see below), whose sum is σ = 38088176929920. Its totient is φ = 3215699481600.

The previous prime is 12133311032977. The next prime is 12133311033001. The reversal of 12133311033000 is 33011333121.

It is not an unprimeable number, because it can be changed into a prime (12133311033001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11917249 + ... + 12895248.

It is an arithmetic number, because the mean of its divisors is an integer number (297563882265).

Almost surely, 2^{12133311033000} is an apocalyptic number.

12133311033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133311033000 is an abundant number, since it is smaller than the sum of its proper divisors (25954865896920).

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

12133311033000 is a wasteful number, since it uses less digits than its factorization.

12133311033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24812684 (or 24812670 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12133311033000 its reverse (33011333121), we get a palindrome (12166322366121).

The spelling of 12133311033000 in words is "twelve trillion, one hundred thirty-three billion, three hundred eleven million, thirty-three thousand".