11000333313012 has 48 divisors (see below), whose sum is σ = 26087598694080. Its totient is φ = 3607174002432.

The previous prime is 11000333313007. The next prime is 11000333313017. The reversal of 11000333313012 is 21031333300011.

11000333313012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11000333313007) and next prime (11000333313017).

It is a self number, because there is not a number n which added to its sum of digits gives 11000333313012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000333313017) 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, 25931578 + ... + 26352369.

It is an arithmetic number, because the mean of its divisors is an integer number (543491639460).

Almost surely, 2^{11000333313012} is an apocalyptic number.

11000333313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000333313012 is an abundant number, since it is smaller than the sum of its proper divisors (15087265381068).

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

11000333313012 is a wasteful number, since it uses less digits than its factorization.

11000333313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52284240 (or 52284238 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11000333313012 its reverse (21031333300011), we get a palindrome (32031666613023).

The spelling of 11000333313012 in words is "eleven trillion, three hundred thirty-three million, three hundred thirteen thousand, twelve".