11131121020 has 96 divisors (see below), whose sum is σ = 24460402176. Its totient is φ = 4250188800.

The previous prime is 11131121017. The next prime is 11131121021. The reversal of 11131121020 is 2012113111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131121021) 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, 16839490 + ... + 16840150.

It is an arithmetic number, because the mean of its divisors is an integer number (254795856).

Almost surely, 2^11131121020 is an apocalyptic number.

11131121020 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 11131121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230201088).

11131121020 is an abundant number, since it is smaller than the sum of its proper divisors (13329281156).

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

11131121020 is a wasteful number, since it uses less digits than its factorization.

11131121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11131121020 its reverse (2012113111), we get a palindrome (13143234131).

The spelling of 11131121020 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty".