2011213032312 has 512 divisors, whose sum is σ = 5999588352000. Its totient is φ = 555749376000.

The previous prime is 2011213032247. The next prime is 2011213032331. The reversal of 2011213032312 is 2132303121102.

It is a super-2 number, since 2×2011213032312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3534644764 + ... + 3534645332.

It is an arithmetic number, because the mean of its divisors is an integer number (11717946000).

Almost surely, 2^{2011213032312} is an apocalyptic number.

2011213032312 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 2011213032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999794176000).

2011213032312 is an abundant number, since it is smaller than the sum of its proper divisors (3988375319688).

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

2011213032312 is a wasteful number, since it uses less digits than its factorization.

2011213032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2011213032312 its reverse (2132303121102), we get a palindrome (4143516153414).

The spelling of 2011213032312 in words is "two trillion, eleven billion, two hundred thirteen million, thirty-two thousand, three hundred twelve".