11013013000 has 128 divisors (see below), whose sum is σ = 28874102400. Its totient is φ = 3896352000.

The previous prime is 11013012979. The next prime is 11013013003. The reversal of 11013013000 is 31031011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11013013003) 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, 393471 + ... + 420529.

It is an arithmetic number, because the mean of its divisors is an integer number (225578925).

Almost surely, 2^11013013000 is an apocalyptic number.

11013013000 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 11013013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437051200).

11013013000 is an abundant number, since it is smaller than the sum of its proper divisors (17861089400).

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

11013013000 is a wasteful number, since it uses less digits than its factorization.

11013013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27128 (or 27114 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11013013000 its reverse (31031011), we get a palindrome (11044044011).

The spelling of 11013013000 in words is "eleven billion, thirteen million, thirteen thousand".