2133312211120 has 40 divisors (see below), whose sum is σ = 5008105773216. Its totient is φ = 845040173568.

The previous prime is 2133312211117. The next prime is 2133312211229. The reversal of 2133312211120 is 211122133312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2133312211120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133312211091 and 2133312211100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129440317 + ... + 129456796.

Almost surely, 2^{2133312211120} is an apocalyptic number.

2133312211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133312211120 is an abundant number, since it is smaller than the sum of its proper divisors (2874793562096).

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

2133312211120 is a wasteful number, since it uses less digits than its factorization.

2133312211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258897229 (or 258897223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2133312211120 its reverse (211122133312), we get a palindrome (2344434344432).

It can be divided in two parts, 2133312 and 211120, that added together give a palindrome (2344432).

The spelling of 2133312211120 in words is "two trillion, one hundred thirty-three billion, three hundred twelve million, two hundred eleven thousand, one hundred twenty".