2113331220 has 576 divisors, whose sum is σ = 8867529216. Its totient is φ = 393154560.

The previous prime is 2113331197. The next prime is 2113331263. The reversal of 2113331220 is 221333112.

2113331220 is a `hidden beast` number, since 2 + 113 + 331 + 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 = 2113331193 and 2113331202.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6666502 + ... + 6666818.

It is an arithmetic number, because the mean of its divisors is an integer number (15395016).

Almost surely, 2^2113331220 is an apocalyptic number.

2113331220 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 2113331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433764608).

2113331220 is an abundant number, since it is smaller than the sum of its proper divisors (6754197996).

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

2113331220 is a wasteful number, since it uses less digits than its factorization.

2113331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2113331220 is about 45970.9823693164. The cubic root of 2113331220 is about 1283.2832419121.

Adding to 2113331220 its reverse (221333112), we get a palindrome (2334664332).

It can be divided in two parts, 2113 and 331220, that added together give a palindrome (333333).

The spelling of 2113331220 in words is "two billion, one hundred thirteen million, three hundred thirty-one thousand, two hundred twenty".