11131101122020 has 96 divisors (see below), whose sum is σ = 25765603395840. Its totient is φ = 4005658344960.

The previous prime is 11131101122003. The next prime is 11131101122021. The reversal of 11131101122020 is 2022110113111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11131101121985 and 11131101122003.

It is not an unprimeable number, because it can be changed into a prime (11131101122021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19453534 + ... + 20017546.

It is an arithmetic number, because the mean of its divisors is an integer number (268391702040).

Almost surely, 2^{11131101122020} is an apocalyptic number.

11131101122020 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 11131101122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882801697920).

11131101122020 is an abundant number, since it is smaller than the sum of its proper divisors (14634502273820).

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

11131101122020 is a wasteful number, since it uses less digits than its factorization.

11131101122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564965 (or 564963 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11131101122020 its reverse (2022110113111), we get a palindrome (13153211235131).

The spelling of 11131101122020 in words is "eleven trillion, one hundred thirty-one billion, one hundred one million, one hundred twenty-two thousand, twenty".