2133434004300 has 216 divisors, whose sum is σ = 7098168469392. Its totient is φ = 534113280000.

The previous prime is 2133434004271. The next prime is 2133434004311. The reversal of 2133434004300 is 34004343312.

2133434004300 is a `hidden beast` number, since 2 + 13 + 3 + 4 + 340 + 0 + 4 + 300 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5961435 + ... + 6309165.

It is an arithmetic number, because the mean of its divisors is an integer number (32861891062).

Almost surely, 2^{2133434004300} is an apocalyptic number.

2133434004300 is a gapful number since it is divisible by the number (20) 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 2133434004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549084234696).

2133434004300 is an abundant number, since it is smaller than the sum of its proper divisors (4964734465092).

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

2133434004300 is a wasteful number, since it uses less digits than its factorization.

2133434004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348169 (or 348159 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2133434004300 its reverse (34004343312), we get a palindrome (2167438347612).

The spelling of 2133434004300 in words is "two trillion, one hundred thirty-three billion, four hundred thirty-four million, four thousand, three hundred".