2213100131220 has 576 divisors, whose sum is σ = 8094536416512. Its totient is φ = 483231744000.

The previous prime is 2213100131219. The next prime is 2213100131243. The reversal of 2213100131220 is 221310013122.

2213100131220 is a `hidden beast` number, since 2 + 2 + 1 + 310 + 0 + 131 + 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 = 2213100131193 and 2213100131202.

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, 75956055 + ... + 75985185.

It is an arithmetic number, because the mean of its divisors is an integer number (14053014612).

Almost surely, 2^{2213100131220} is an apocalyptic number.

2213100131220 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 2213100131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047268208256).

2213100131220 is an abundant number, since it is smaller than the sum of its proper divisors (5881436285292).

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

2213100131220 is a wasteful number, since it uses less digits than its factorization.

2213100131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29272 (or 29267 counting only the distinct ones).

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

Adding to 2213100131220 its reverse (221310013122), we get a palindrome (2434410144342).

The spelling of 2213100131220 in words is "two trillion, two hundred thirteen billion, one hundred million, one hundred thirty-one thousand, two hundred twenty".