2011313211300 has 216 divisors, whose sum is σ = 6589333144576. Its totient is φ = 532126143360.

The previous prime is 2011313211253. The next prime is 2011313211359. The reversal of 2011313211300 is 31123131102.

2011313211300 is a `hidden beast` number, since 2 + 0 + 11 + 31 + 321 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2760234 + ... + 3411966.

Almost surely, 2^{2011313211300} is an apocalyptic number.

2011313211300 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 2011313211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294666572288).

2011313211300 is an abundant number, since it is smaller than the sum of its proper divisors (4578019933276).

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

2011313211300 is a wasteful number, since it uses less digits than its factorization.

2011313211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651889 (or 651870 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2011313211300 its reverse (31123131102), we get a palindrome (2042436342402).

The spelling of 2011313211300 in words is "two trillion, eleven billion, three hundred thirteen million, two hundred eleven thousand, three hundred".