2133111200220 has 576 divisors, whose sum is σ = 8922407510016. Its totient is φ = 398088898560.

The previous prime is 2133111200219. The next prime is 2133111200237. The reversal of 2133111200220 is 220021113312.

2133111200220 is a `hidden beast` number, since 2 + 1 + 331 + 112 + 0 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133111200193 and 2133111200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6506677 + ... + 6826643.

It is an arithmetic number, because the mean of its divisors is an integer number (15490290816).

Almost surely, 2^{2133111200220} is an apocalyptic number.

2133111200220 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 2133111200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461203755008).

2133111200220 is an abundant number, since it is smaller than the sum of its proper divisors (6789296309796).

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

2133111200220 is a wasteful number, since it uses less digits than its factorization.

2133111200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320050 (or 320045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2133111200220 its reverse (220021113312), we get a palindrome (2353132313532).

The spelling of 2133111200220 in words is "two trillion, one hundred thirty-three billion, one hundred eleven million, two hundred thousand, two hundred twenty".