11111123101320 has 384 divisors, whose sum is σ = 40521949453440. Its totient is φ = 2616707358720.

The previous prime is 11111123101291. The next prime is 11111123101349. The reversal of 11111123101320 is 2310132111111.

11111123101320 is a `hidden beast` number, since 1 + 1 + 1 + 111 + 231 + 0 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11111123101291) and next prime (11111123101349).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11111123101293 and 11111123101302.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 94153392 + ... + 94271328.

It is an arithmetic number, because the mean of its divisors is an integer number (105525910035).

Almost surely, 2^{11111123101320} is an apocalyptic number.

11111123101320 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 11111123101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260974726720).

11111123101320 is an abundant number, since it is smaller than the sum of its proper divisors (29410826352120).

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

11111123101320 is a wasteful number, since it uses less digits than its factorization.

11111123101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118645 (or 118638 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11111123101320 its reverse (2310132111111), we get a palindrome (13421255212431).

The spelling of 11111123101320 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-three million, one hundred one thousand, three hundred twenty".