11000013012 has 72 divisors (see below), whose sum is σ = 28124910632. Its totient is φ = 3624652800.

The previous prime is 11000012951. The next prime is 11000013019. The reversal of 11000013012 is 21031000011.

11000013012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1632483216 + 9367529796 = 40404^2 + 96786^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000012985 and 11000013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000013019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4821312 + ... + 4823592.

Almost surely, 2^11000013012 is an apocalyptic number.

11000013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000013012 is an abundant number, since it is smaller than the sum of its proper divisors (17124897620).

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

11000013012 is a wasteful number, since it uses less digits than its factorization.

11000013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000013012 its reverse (21031000011), we get a palindrome (32031013023).

The spelling of 11000013012 in words is "eleven billion, thirteen thousand, twelve".