2213330013312 has 256 divisors, whose sum is σ = 6795726336000. Its totient is φ = 630804070400.

The previous prime is 2213330013287. The next prime is 2213330013469. The reversal of 2213330013312 is 2133100333122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 108491689 + ... + 108512087.

It is an arithmetic number, because the mean of its divisors is an integer number (26545806000).

Almost surely, 2^{2213330013312} is an apocalyptic number.

2213330013312 is a gapful number since it is divisible by the number (22) 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 2213330013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397863168000).

2213330013312 is an abundant number, since it is smaller than the sum of its proper divisors (4582396322688).

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

2213330013312 is a wasteful number, since it uses less digits than its factorization.

2213330013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21955 (or 21943 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2213330013312 its reverse (2133100333122), we get a palindrome (4346430346434).

The spelling of 2213330013312 in words is "two trillion, two hundred thirteen billion, three hundred thirty million, thirteen thousand, three hundred twelve".