11333121100013 has 16 divisors (see below), whose sum is σ = 11541060928320. Its totient is φ = 11127093427584.

The previous prime is 11333121099997. The next prime is 11333121100061. The reversal of 11333121100013 is 31000112133311.

It is a cyclic number.

It is not a de Polignac number, because 11333121100013 - 2⁴ = 11333121099997 is a prime.

It is a super-2 number, since 2×11333121100013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333121108013) 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, 8114633 + ... + 9408161.

It is an arithmetic number, because the mean of its divisors is an integer number (721316308020).

Almost surely, 2^{11333121100013} is an apocalyptic number.

It is an amenable number.

11333121100013 is a deficient number, since it is larger than the sum of its proper divisors (207939828307).

11333121100013 is a wasteful number, since it uses less digits than its factorization.

11333121100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294268.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11333121100013 its reverse (31000112133311), we get a palindrome (42333233233324).

The spelling of 11333121100013 in words is "eleven trillion, three hundred thirty-three billion, one hundred twenty-one million, one hundred thousand, thirteen".