11031023120 has 160 divisors (see below), whose sum is σ = 28694100960. Its totient is φ = 3917168640.

The previous prime is 11031023117. The next prime is 11031023131. The reversal of 11031023120 is 2132013011.

It can be written as a sum of positive squares in 16 ways, for example, as 2120418304 + 8910604816 = 46048^2 + 94396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11031023095 and 11031023104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3423110 + ... + 3426330.

It is an arithmetic number, because the mean of its divisors is an integer number (179338131).

Almost surely, 2^11031023120 is an apocalyptic number.

11031023120 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 11031023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347050480).

11031023120 is an abundant number, since it is smaller than the sum of its proper divisors (17663077840).

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

11031023120 is a wasteful number, since it uses less digits than its factorization.

11031023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11031023120 its reverse (2132013011), we get a palindrome (13163036131).

The spelling of 11031023120 in words is "eleven billion, thirty-one million, twenty-three thousand, one hundred twenty".