11130020010 has 96 divisors (see below), whose sum is σ = 29172678912. Its totient is φ = 2944045440.

The previous prime is 11130019961. The next prime is 11130020017. The reversal of 11130020010 is 1002003111.

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 = 11130019974 and 11130020001.

It is not an unprimeable number, because it can be changed into a prime (11130020017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6968532 + ... + 6970128.

It is an arithmetic number, because the mean of its divisors is an integer number (303882072).

Almost surely, 2^11130020010 is an apocalyptic number.

11130020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586339456).

11130020010 is an abundant number, since it is smaller than the sum of its proper divisors (18042658902).

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

11130020010 is a wasteful number, since it uses less digits than its factorization.

11130020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2185 counting only the distinct ones).

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

Adding to 11130020010 its reverse (1002003111), we get a palindrome (12132023121).

The spelling of 11130020010 in words is "eleven billion, one hundred thirty million, twenty thousand, ten".