11114133211320 has 128 divisors (see below), whose sum is σ = 33497628848640. Its totient is φ = 2949989880320.

The previous prime is 11114133211319. The next prime is 11114133211327. The reversal of 11114133211320 is 2311233141111.

It is a super-2 number, since 2×11114133211320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114133211327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37123267 + ... + 37421453.

It is an arithmetic number, because the mean of its divisors is an integer number (261700225380).

Almost surely, 2^{11114133211320} is an apocalyptic number.

11114133211320 is a gapful number since it is divisible by the number (10) 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 11114133211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748814424320).

11114133211320 is an abundant number, since it is smaller than the sum of its proper divisors (22383495637320).

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

11114133211320 is a wasteful number, since it uses less digits than its factorization.

11114133211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299645 (or 299641 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 11114133211320 its reverse (2311233141111), we get a palindrome (13425366352431).

The spelling of 11114133211320 in words is "eleven trillion, one hundred fourteen billion, one hundred thirty-three million, two hundred eleven thousand, three hundred twenty".