11033113120 has 48 divisors (see below), whose sum is σ = 26701495128. Its totient is φ = 4305602560.

The previous prime is 11033113099. The next prime is 11033113123. The reversal of 11033113120 is 2131133011.

It can be written as a sum of positive squares in 4 ways, for example, as 5445849616 + 5587263504 = 73796^2 + 74748^2 .

It is a super-2 number, since 2×11033113120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11033113094 and 11033113103.

It is not an unprimeable number, because it can be changed into a prime (11033113123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834379 + ... + 847498.

Almost surely, 2^11033113120 is an apocalyptic number.

11033113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033113120 is an abundant number, since it is smaller than the sum of its proper divisors (15668382008).

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

11033113120 is a wasteful number, since it uses less digits than its factorization.

11033113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681933 (or 1681925 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11033113120 its reverse (2131133011), we get a palindrome (13164246131).

The spelling of 11033113120 in words is "eleven billion, thirty-three million, one hundred thirteen thousand, one hundred twenty".