11000213121213 has 24 divisors (see below), whose sum is σ = 16736198980800. Its totient is φ = 6943046471424.

The previous prime is 11000213121203. The next prime is 11000213121239. The reversal of 11000213121213 is 31212131200011.

11000213121213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11000213121213 - 2²⁰ = 11000212072637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000213121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20364820 + ... + 20897997.

It is an arithmetic number, because the mean of its divisors is an integer number (697341624200).

Almost surely, 2^{11000213121213} is an apocalyptic number.

It is an amenable number.

11000213121213 is a deficient number, since it is larger than the sum of its proper divisors (5735985859587).

11000213121213 is a wasteful number, since it uses less digits than its factorization.

11000213121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41264401 (or 41264398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11000213121213 its reverse (31212131200011), we get a palindrome (42212344321224).

The spelling of 11000213121213 in words is "eleven trillion, two hundred thirteen million, one hundred twenty-one thousand, two hundred thirteen".