2211313311120 has 80 divisors (see below), whose sum is σ = 6898734256320. Its totient is φ = 585927593472.

The previous prime is 2211313311091. The next prime is 2211313311127. The reversal of 2211313311120 is 211133131122.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2211313311127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29305650 + ... + 29381009.

It is an arithmetic number, because the mean of its divisors is an integer number (86234178204).

Almost surely, 2^{2211313311120} is an apocalyptic number.

2211313311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211313311120 is an abundant number, since it is smaller than the sum of its proper divisors (4687420945200).

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

2211313311120 is a wasteful number, since it uses less digits than its factorization.

2211313311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58686832 (or 58686826 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2211313311120 its reverse (211133131122), we get a palindrome (2422446442242).

The spelling of 2211313311120 in words is "two trillion, two hundred eleven billion, three hundred thirteen million, three hundred eleven thousand, one hundred twenty".