2133113333120 has 512 divisors, whose sum is σ = 6642341314560. Its totient is φ = 635629363200.

The previous prime is 2133113333111. The next prime is 2133113333129. The reversal of 2133113333120 is 213333113312.

It is an interprime number because it is at equal distance from previous prime (2133113333111) and next prime (2133113333129).

It is a self number, because there is not a number n which added to its sum of digits gives 2133113333120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133113333129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126789029 + ... + 126805851.

It is an arithmetic number, because the mean of its divisors is an integer number (12973322880).

Almost surely, 2^{2133113333120} is an apocalyptic number.

2133113333120 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 2133113333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321170657280).

2133113333120 is an abundant number, since it is smaller than the sum of its proper divisors (4509227981440).

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

2133113333120 is a wasteful number, since it uses less digits than its factorization.

2133113333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16974 (or 16962 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 2133113333120 its reverse (213333113312), we get a palindrome (2346446446432).

The spelling of 2133113333120 in words is "two trillion, one hundred thirty-three billion, one hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".