2011313333232 has 160 divisors (see below), whose sum is σ = 6605666496000. Its totient is φ = 573989663232.

The previous prime is 2011313333207. The next prime is 2011313333233. The reversal of 2011313333232 is 2323333131102.

2011313333232 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 1 + 333 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2011313333196 and 2011313333205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011313333233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2203519 + ... + 2979617.

It is an arithmetic number, because the mean of its divisors is an integer number (41285415600).

Almost surely, 2^{2011313333232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011313333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302833248000).

2011313333232 is an abundant number, since it is smaller than the sum of its proper divisors (4594353162768).

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

2011313333232 is a wasteful number, since it uses less digits than its factorization.

2011313333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776980 (or 776968 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2011313333232 its reverse (2323333131102), we get a palindrome (4334646464334).

The spelling of 2011313333232 in words is "two trillion, eleven billion, three hundred thirteen million, three hundred thirty-three thousand, two hundred thirty-two".