11013003120 has 320 divisors, whose sum is σ = 39933444096. Its totient is φ = 2458874880.

The previous prime is 11013003109. The next prime is 11013003139. The reversal of 11013003120 is 2130031011.

It is a super-2 number, since 2×11013003120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11013003096 and 11013003105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15148197 + ... + 15148923.

Almost surely, 2^11013003120 is an apocalyptic number.

11013003120 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 11013003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966722048).

11013003120 is an abundant number, since it is smaller than the sum of its proper divisors (28920440976).

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

11013003120 is a wasteful number, since it uses less digits than its factorization.

11013003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11013003120 its reverse (2130031011), we get a palindrome (13143034131).

The spelling of 11013003120 in words is "eleven billion, thirteen million, three thousand, one hundred twenty".