11003031120 has 160 divisors (see below), whose sum is σ = 34618034304. Its totient is φ = 2890598400.

The previous prime is 11003031079. The next prime is 11003031121. The reversal of 11003031120 is 2113030011.

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 = 11003031096 and 11003031105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003031121) 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, 10776210 + ... + 10777230.

Almost surely, 2^11003031120 is an apocalyptic number.

11003031120 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 11003031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309017152).

11003031120 is an abundant number, since it is smaller than the sum of its proper divisors (23615003184).

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

11003031120 is a wasteful number, since it uses less digits than its factorization.

11003031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

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

Adding to 11003031120 its reverse (2113030011), we get a palindrome (13116061131).

The spelling of 11003031120 in words is "eleven billion, three million, thirty-one thousand, one hundred twenty".