2211133321000 has 128 divisors (see below), whose sum is σ = 5306648256000. Its totient is φ = 861839424000.

The previous prime is 2211133320989. The next prime is 2211133321037. The reversal of 2211133321000 is 1233311122.

It is a super-2 number, since 2×2211133321000² (a number of 25 digits) contains 22 as substring.

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, 34366861 + ... + 34431139.

It is an arithmetic number, because the mean of its divisors is an integer number (41458189500).

Almost surely, 2^{2211133321000} is an apocalyptic number.

2211133321000 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 2211133321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653324128000).

2211133321000 is an abundant number, since it is smaller than the sum of its proper divisors (3095514935000).

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

2211133321000 is a wasteful number, since it uses less digits than its factorization.

2211133321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65180 (or 65166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2211133321000 its reverse (1233311122), we get a palindrome (2212366632122).

The spelling of 2211133321000 in words is "two trillion, two hundred eleven billion, one hundred thirty-three million, three hundred twenty-one thousand".