11030013000 has 384 divisors, whose sum is σ = 40714128000. Its totient is φ = 2785363200.

The previous prime is 11030012957. The next prime is 11030013011. The reversal of 11030013000 is 31003011.

It is a super-2 number, since 2×11030013000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4615806 + ... + 4618194.

It is an arithmetic number, because the mean of its divisors is an integer number (106026375).

Almost surely, 2^11030013000 is an apocalyptic number.

11030013000 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 11030013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357064000).

11030013000 is an abundant number, since it is smaller than the sum of its proper divisors (29684115000).

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

11030013000 is a wasteful number, since it uses less digits than its factorization.

11030013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2418 counting only the distinct ones).

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

Adding to 11030013000 its reverse (31003011), we get a palindrome (11061016011).

The spelling of 11030013000 in words is "eleven billion, thirty million, thirteen thousand".