11130100020 has 216 divisors, whose sum is σ = 36679098456. Its totient is φ = 2730663936.

The previous prime is 11130100013. The next prime is 11130100061. The reversal of 11130100020 is 2000103111.

It can be written as a sum of positive squares in 12 ways, for example, as 8871379344 + 2258720676 = 94188^2 + 47526^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11130099975 and 11130100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18038752 + ... + 18039368.

It is an arithmetic number, because the mean of its divisors is an integer number (169810641).

Almost surely, 2^11130100020 is an apocalyptic number.

11130100020 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 11130100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339549228).

11130100020 is an abundant number, since it is smaller than the sum of its proper divisors (25548998436).

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

11130100020 is a wasteful number, since it uses less digits than its factorization.

11130100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11130100020 its reverse (2000103111), we get a palindrome (13130203131).

The spelling of 11130100020 in words is "eleven billion, one hundred thirty million, one hundred thousand, twenty".