11023131122100 has 864 divisors, whose sum is σ = 37520083560960. Its totient is φ = 2698600320000.

The previous prime is 11023131122099. The next prime is 11023131122111. The reversal of 11023131122100 is 122113132011.

11023131122100 is a `hidden beast` number, since 1 + 1 + 0 + 231 + 311 + 22 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18778758007 + ... + 18778758593.

It is an arithmetic number, because the mean of its divisors is an integer number (43426022640).

Almost surely, 2^{11023131122100} is an apocalyptic number.

11023131122100 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 11023131122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760041780480).

11023131122100 is an abundant number, since it is smaller than the sum of its proper divisors (26496952438860).

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

11023131122100 is a wasteful number, since it uses less digits than its factorization.

11023131122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

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

Adding to 11023131122100 its reverse (122113132011), we get a palindrome (11145244254111).

The spelling of 11023131122100 in words is "eleven trillion, twenty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred".