2213133202120 has 128 divisors (see below), whose sum is σ = 5027795388000. Its totient is φ = 876732825600.

The previous prime is 2213133202117. The next prime is 2213133202151. The reversal of 2213133202120 is 212023313122.

It can be written as a sum of positive squares in 16 ways, for example, as 664586909284 + 1548546292836 = 815222^2 + 1244406^2 .

It is a super-3 number, since 3×2213133202120³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213133202091 and 2213133202100.

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, 1873947930 + ... + 1873949110.

Almost surely, 2^{2213133202120} is an apocalyptic number.

2213133202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213133202120 is an abundant number, since it is smaller than the sum of its proper divisors (2814662185880).

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

2213133202120 is a wasteful number, since it uses less digits than its factorization.

2213133202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2213133202120 its reverse (212023313122), we get a palindrome (2425156515242).

The spelling of 2213133202120 in words is "two trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred two thousand, one hundred twenty".