11130001020 has 120 divisors (see below), whose sum is σ = 35081777808. Its totient is φ = 2953843200.

The previous prime is 11130000979. The next prime is 11130001039. The reversal of 11130001020 is 2010003111.

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 = 11130000993 and 11130001011.

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 39 ways as a sum of consecutive naturals, for example, 325540 + ... + 358100.

Almost surely, 2^11130001020 is an apocalyptic number.

11130001020 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 11130001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540888904).

11130001020 is an abundant number, since it is smaller than the sum of its proper divisors (23951776788).

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

11130001020 is a wasteful number, since it uses less digits than its factorization.

11130001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32793 (or 32782 counting only the distinct ones).

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

Adding to 11130001020 its reverse (2010003111), we get a palindrome (13140004131).

The spelling of 11130001020 in words is "eleven billion, one hundred thirty million, one thousand, twenty".