2033134213320 has 256 divisors, whose sum is σ = 7759448524800. Its totient is φ = 463865875200.

The previous prime is 2033134213211. The next prime is 2033134213351. The reversal of 2033134213320 is 233124313302.

2033134213320 is a `hidden beast` number, since 2 + 0 + 3 + 313 + 4 + 21 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3889495 + ... + 4381145.

It is an arithmetic number, because the mean of its divisors is an integer number (30310345800).

Almost surely, 2^{2033134213320} is an apocalyptic number.

2033134213320 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 2033134213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879724262400).

2033134213320 is an abundant number, since it is smaller than the sum of its proper divisors (5726314311480).

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

2033134213320 is a wasteful number, since it uses less digits than its factorization.

2033134213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492225 (or 492215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2033134213320 its reverse (233124313302), we get a palindrome (2266258526622).

The spelling of 2033134213320 in words is "two trillion, thirty-three billion, one hundred thirty-four million, two hundred thirteen thousand, three hundred twenty".