1233133334004 has 96 divisors (see below), whose sum is σ = 3383911512576. Its totient is φ = 344567710080.

The previous prime is 1233133333969. The next prime is 1233133334023. The reversal of 1233133334004 is 4004333313321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245639 + ... + 2004465.

It is an arithmetic number, because the mean of its divisors is an integer number (35249078256).

Almost surely, 2^{1233133334004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233133334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691955756288).

1233133334004 is an abundant number, since it is smaller than the sum of its proper divisors (2150778178572).

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

1233133334004 is a wasteful number, since it uses less digits than its factorization.

1233133334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759805 (or 759803 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 1233133334004 its reverse (4004333313321), we get a palindrome (5237466647325).

The spelling of 1233133334004 in words is "one trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred thirty-four thousand, four".